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68032608 = 2537293491
BaseRepresentation
bin1000000111000…
…01100001100000
311202000102012020
410003201201200
5114404020413
610430101440
71454160540
oct403414140
9152012166
1068032608
11354479a6
121a94a880
13111301a7
14906d320
155e8cc23
hex40e1860

68032608 has 96 divisors (see below), whose sum is σ = 211196160. Its totient is φ = 18762240.

The previous prime is 68032607. The next prime is 68032609. The reversal of 68032608 is 80623086.

It is an interprime number because it is at equal distance from previous prime (68032607) and next prime (68032609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68032607) 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, 17743 + ... + 21233.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 268032608 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 68032608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105598080).

68032608 is an abundant number, since it is smaller than the sum of its proper divisors (143163552).

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

68032608 is a wasteful number, since it uses less digits than its factorization.

68032608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68032608 is about 8248.1881646820. The cubic root of 68032608 is about 408.2307422216.

The spelling of 68032608 in words is "sixty-eight million, thirty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 3491 4872 6496 6982 9744 10473 13964 19488 20946 24437 27928 41892 48874 55856 73311 83784 97748 101239 111712 146622 167568 195496 202478 293244 303717 335136 390992 404956 586488 607434 708673 781984 809912 1172976 1214868 1417346 1619824 2126019 2345952 2429736 2834692 3239648 4252038 4859472 5669384 8504076 9718944 11338768 17008152 22677536 34016304 68032608