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1030995540 = 22312597
BaseRepresentation
bin111101011100111…
…011111001010100
32122212000000000000
4331130323321110
54102413324130
6250145451300
734356213621
oct7534737124
92585000000
101030995540
11489a74233
12249340b30
131357a0343
149acd9348
15607a5260
hex3d73be54

1030995540 has 156 divisors (see below), whose sum is σ = 3281114676. Its totient is φ = 272097792.

The previous prime is 1030995533. The next prime is 1030995547. The reversal of 1030995540 is 455990301.

1030995540 is a `hidden beast` number, since 10 + 3 + 0 + 99 + 554 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1030995533) and next prime (1030995547).

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 614345796 = 20412^2 + 24786^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1030995495 and 1030995504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030995547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 10628772 + ... + 10628868.

Almost surely, 21030995540 is an apocalyptic number.

1030995540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030995540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640557338).

1030995540 is an abundant number, since it is smaller than the sum of its proper divisors (2250119136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1030995540 is an frugal number, since it uses more digits than its factorization.

1030995540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1030995540 is about 32109.1192654050. The cubic root of 1030995540 is about 1010.2269006281.

The spelling of 1030995540 in words is "one billion, thirty million, nine hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 243 270 291 324 388 405 485 486 540 582 729 810 873 970 972 1164 1215 1455 1458 1620 1746 1940 2187 2430 2619 2910 2916 3492 3645 4365 4374 4860 5238 5820 6561 7290 7857 8730 8748 10476 10935 13095 13122 14580 15714 17460 19683 21870 23571 26190 26244 31428 32805 39285 39366 43740 47142 52380 59049 65610 70713 78570 78732 94284 98415 117855 118098 131220 141426 157140 177147 196830 212139 235710 236196 282852 295245 353565 354294 393660 424278 471420 531441 590490 636417 707130 708588 848556 885735 1060695 1062882 1180980 1272834 1414260 1771470 1909251 2121390 2125764 2545668 2657205 3182085 3542940 3818502 4242780 5314410 5727753 6364170 7637004 9546255 10628820 11455506 12728340 17183259 19092510 22911012 28638765 34366518 38185020 51549777 57277530 68733036 85916295 103099554 114555060 171832590 206199108 257748885 343665180 515497770 1030995540