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390607056 = 24337129169
BaseRepresentation
bin10111010010000…
…011000011010000
31000012222220011000
4113102003003100
51244443411211
6102432022000
712452051040
oct2722030320
91005886130
10390607056
1119053a954
12aa991900
1362c03148
1439c3b720
152445a656
hex174830d0

390607056 has 80 divisors (see below), whose sum is σ = 1281366400. Its totient is φ = 111601152.

The previous prime is 390606991. The next prime is 390607117. The reversal of 390607056 is 650706093.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390607056.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61561 + ... + 67608.

It is an arithmetic number, because the mean of its divisors is an integer number (16017080).

Almost surely, 2390607056 is an apocalyptic number.

390607056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

390607056 is an abundant number, since it is smaller than the sum of its proper divisors (890759344).

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

390607056 is a wasteful number, since it uses less digits than its factorization.

390607056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129193 (or 129181 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 390607056 is about 19763.7814195563. The cubic root of 390607056 is about 730.9932410860.

The spelling of 390607056 in words is "three hundred ninety million, six hundred seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 129169 258338 387507 516676 775014 904183 1033352 1162521 1550028 1808366 2066704 2325042 2712549 3100056 3487563 3616732 4650084 5425098 6200112 6975126 7233464 8137647 9300168 10850196 13950252 14466928 16275294 18600336 21700392 24412941 27900504 32550588 43400784 48825882 55801008 65101176 97651764 130202352 195303528 390607056