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390618072 = 233313139109
BaseRepresentation
bin10111010010000…
…101101111011000
31000020000110021000
4113102011233120
51244444234242
6102432145000
712452125125
oct2722055730
91006013230
10390618072
11190548159
12aa998160
1362c08170
1439c4174c
152445da4c
hex17485bd8

390618072 has 64 divisors (see below), whose sum is σ = 1168524000. Its totient is φ = 120189312.

The previous prime is 390618071. The next prime is 390618077. The reversal of 390618072 is 270816093.

390618072 is a `hidden beast` number, since 39 + 0 + 618 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390618071) 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, 66747 + ... + 72362.

Almost surely, 2390618072 is an apocalyptic number.

It is an amenable number.

390618072 is an abundant number, since it is smaller than the sum of its proper divisors (777905928).

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

390618072 is a wasteful number, since it uses less digits than its factorization.

390618072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139137 (or 139127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 390618072 is about 19764.0601091982. The cubic root of 390618072 is about 731.0001129074. Note that the first 3 decimals are identical.

The spelling of 390618072 in words is "three hundred ninety million, six hundred eighteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 139109 278218 417327 556436 834654 1112872 1251981 1669308 1808417 2503962 3338616 3616834 3755943 5007924 5425251 7233668 7511886 10015848 10850502 14467336 15023772 16275753 21701004 30047544 32551506 43402008 48827259 65103012 97654518 130206024 195309036 390618072