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68682096 = 24327611117
BaseRepresentation
bin1000001100000…
…00000101110000
311210020102010100
410012000011300
5120040311341
610452032400
71462534230
oct406000560
9153212110
1068682096
113585096a
121b002700
13112c99c2
14919bcc0
15606a3b6
hex4180170

68682096 has 120 divisors (see below), whose sum is σ = 223474784. Its totient is φ = 19284480.

The previous prime is 68682083. The next prime is 68682139. The reversal of 68682096 is 69028686.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60930 + ... + 62046.

Almost surely, 268682096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111737392).

68682096 is an abundant number, since it is smaller than the sum of its proper divisors (154792688).

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

68682096 is a wasteful number, since it uses less digits than its factorization.

68682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 68682096 is about 8287.4661990261. The cubic root of 68682096 is about 409.5257176798.

The spelling of 68682096 in words is "sixty-eight million, six hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 549 732 854 976 1008 1098 1117 1281 1464 1708 2196 2234 2562 2928 3351 3416 3843 4392 4468 5124 6702 6832 7686 7819 8784 8936 10053 10248 13404 15372 15638 17872 20106 20496 23457 26808 30744 31276 40212 46914 53616 61488 62552 68137 70371 80424 93828 125104 136274 140742 160848 187656 204411 272548 281484 375312 408822 476959 545096 562968 613233 817644 953918 1090192 1125936 1226466 1430877 1635288 1907836 2452932 2861754 3270576 3815672 4292631 4905864 5723508 7631344 8585262 9811728 11447016 17170524 22894032 34341048 68682096