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390090432 = 26317119513
BaseRepresentation
bin10111010000000…
…100111011000000
31000012000122110210
4113100010323000
51244330343212
6102412554120
712444466614
oct2720047300
91005018423
10390090432
11190217796
12aa782940
1362a81c54
1439b45344
15243a753c
hex17404ec0

390090432 has 56 divisors (see below), whose sum is σ = 1092836016. Its totient is φ = 122380288.

The previous prime is 390090431. The next prime is 390090433. The reversal of 390090432 is 234090093.

It is an interprime number because it is at equal distance from previous prime (390090431) and next prime (390090433).

It is a self number, because there is not a number n which added to its sum of digits gives 390090432.

It is not an unprimeable number, because it can be changed into a prime (390090431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56493 + ... + 63020.

Almost surely, 2390090432 is an apocalyptic number.

390090432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390090432 is an abundant number, since it is smaller than the sum of its proper divisors (702745584).

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

390090432 is a wasteful number, since it uses less digits than its factorization.

390090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119545 (or 119535 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 390090432 is about 19750.7071265816. The cubic root of 390090432 is about 730.6708239118.

The spelling of 390090432 in words is "three hundred ninety million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 119513 239026 358539 478052 717078 956104 1434156 1912208 2031721 2868312 3824416 4063442 5736624 6095163 7648832 8126884 11473248 12190326 16253768 22946496 24380652 32507536 48761304 65015072 97522608 130030144 195045216 390090432