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10402232040 = 2332535818069
BaseRepresentation
bin10011011000000010…
…10111011011101000
3222211221122010202100
421230001113123220
5132300432411130
64440111533400
7515530341054
oct115401273350
928757563670
1010402232040
114458874992
12202382a260
13c9a1309b5
14709748c64
1540d362c60
hex26c0576e8

10402232040 has 96 divisors (see below), whose sum is σ = 33820885800. Its totient is φ = 2772810240.

The previous prime is 10402232033. The next prime is 10402232047. The reversal of 10402232040 is 4023220401.

It is an interprime number because it is at equal distance from previous prime (10402232033) and next prime (10402232047).

It can be written as a sum of positive squares in 4 ways, for example, as 7008703524 + 3393528516 = 83718^2 + 58254^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10402232047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285126 + ... + 1293194.

Almost surely, 210402232040 is an apocalyptic number.

10402232040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402232040 is an abundant number, since it is smaller than the sum of its proper divisors (23418653760).

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

10402232040 is a wasteful number, since it uses less digits than its factorization.

10402232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11667 (or 11660 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10402232040 its reverse (4023220401), we get a palindrome (14425452441).

The spelling of 10402232040 in words is "ten billion, four hundred two million, two hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3581 7162 8069 10743 14324 16138 17905 21486 24207 28648 32229 32276 35810 40345 42972 48414 53715 64458 64552 71620 72621 80690 85944 96828 107430 121035 128916 143240 145242 161145 161380 193656 214860 242070 257832 290484 322290 322760 363105 429720 484140 580968 644580 726210 968280 1289160 1452420 2904840 28895089 57790178 86685267 115580356 144475445 173370534 231160712 260055801 288950890 346741068 433426335 520111602 577901780 693482136 866852670 1040223204 1155803560 1300279005 1733705340 2080446408 2600558010 3467410680 5201116020 10402232040