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1040766540 = 2235117919961
BaseRepresentation
bin111110000010001…
…101011001001100
32200112101102021220
4332002031121030
54112414012130
6251135123340
734535240532
oct7602153114
92615342256
101040766540
11494538340
12250673550
131378118b8
149c320152
1561585410
hex3e08d64c

1040766540 has 96 divisors (see below), whose sum is σ = 3219471360. Its totient is φ = 249100800.

The previous prime is 1040766527. The next prime is 1040766577. The reversal of 1040766540 is 456670401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42160 + ... + 62120.

It is an arithmetic number, because the mean of its divisors is an integer number (33536160).

Almost surely, 21040766540 is an apocalyptic number.

1040766540 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 1040766540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609735680).

1040766540 is an abundant number, since it is smaller than the sum of its proper divisors (2178704820).

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

1040766540 is a wasteful number, since it uses less digits than its factorization.

1040766540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20063 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1040766540 is about 32260.9135022553. The cubic root of 1040766540 is about 1013.4082616667.

The spelling of 1040766540 in words is "one billion, forty million, seven hundred sixty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 8690 10428 13035 17380 19961 26070 39922 52140 59883 79844 99805 119766 199610 219571 239532 299415 399220 439142 598830 658713 878284 1097855 1197660 1317426 1576919 2195710 2634852 3153838 3293565 4391420 4730757 6307676 6587130 7884595 9461514 13174260 15769190 17346109 18923028 23653785 31538380 34692218 47307570 52038327 69384436 86730545 94615140 104076654 173461090 208153308 260191635 346922180 520383270 1040766540