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1032130040 = 235103479523
BaseRepresentation
bin111101100001010…
…000110111111000
32122221010122020112
4331201100313320
54103211130130
6250230043452
734401650324
oct7541206770
92587118215
101032130040
1148a679637
122497a9588
13135aa9846
149b112984
156092b495
hex3d850df8

1032130040 has 64 divisors (see below), whose sum is σ = 2354227200. Its totient is φ = 407210112.

The previous prime is 1032130031. The next prime is 1032130049. The reversal of 1032130040 is 400312301.

It is an interprime number because it is at equal distance from previous prime (1032130031) and next prime (1032130049).

It is a junction number, because it is equal to n+sod(n) for n = 1032129997 and 1032130024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032130049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973219 + ... + 1973741.

It is an arithmetic number, because the mean of its divisors is an integer number (36784800).

Almost surely, 21032130040 is an apocalyptic number.

1032130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032130040 is an abundant number, since it is smaller than the sum of its proper divisors (1322097160).

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

1032130040 is a wasteful number, since it uses less digits than its factorization.

1032130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1032130040 is about 32126.7807288561. The cubic root of 1032130040 is about 1010.5973135748.

Adding to 1032130040 its reverse (400312301), we get a palindrome (1432442341).

It can be divided in two parts, 1032 and 130040, that added together give a 17-th power (131072 = 217).

The spelling of 1032130040 in words is "one billion, thirty-two million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 479 515 523 824 958 1030 1046 1916 2060 2092 2395 2615 3832 4120 4184 4790 5230 9580 10460 19160 20920 49337 53869 98674 107738 197348 215476 246685 250517 269345 394696 430952 493370 501034 538690 986740 1002068 1077380 1252585 1973480 2004136 2154760 2505170 5010340 10020680 25803251 51606502 103213004 129016255 206426008 258032510 516065020 1032130040