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68628672 = 2632717021
BaseRepresentation
bin1000001011100…
…11000011000000
311210010200211200
410011303003000
5120032104142
610450541200
71462222410
oct405630300
9153120750
1068628672
1135814812
121ab97800
13112ab5a8
149186640
15605964c
hex41730c0

68628672 has 84 divisors (see below), whose sum is σ = 224826576. Its totient is φ = 19607040.

The previous prime is 68628661. The next prime is 68628697. The reversal of 68628672 is 27682686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4479 + ... + 12542.

Almost surely, 268628672 is an apocalyptic number.

It is an amenable number.

68628672 is an abundant number, since it is smaller than the sum of its proper divisors (156197904).

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

68628672 is a wasteful number, since it uses less digits than its factorization.

68628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046 (or 17033 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 68628672 is about 8284.2423914321. The cubic root of 68628672 is about 409.4195076757.

The spelling of 68628672 in words is "sixty-eight million, six hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 17021 34042 51063 68084 102126 119147 136168 153189 204252 238294 272336 306378 357441 408504 476588 544672 612756 714882 817008 953176 1072323 1089344 1225512 1429764 1634016 1906352 2144646 2451024 2859528 3268032 3812704 4289292 4902048 5719056 7625408 8578584 9804096 11438112 17157168 22876224 34314336 68628672