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68632704 = 273372837
BaseRepresentation
bin1000001011101…
…00000010000000
311210010220101000
410011310002000
5120032221304
610451012000
71462240230
oct405640200
9153126330
1068632704
1135817848
121ab9a000
13112b038a
149187cc0
15605a939
hex4174080

68632704 has 128 divisors (see below), whose sum is σ = 231580800. Its totient is φ = 19602432.

The previous prime is 68632699. The next prime is 68632727. The reversal of 68632704 is 40723686.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 22774 + ... + 25610.

It is an arithmetic number, because the mean of its divisors is an integer number (1809225).

Almost surely, 268632704 is an apocalyptic number.

68632704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115790400).

68632704 is an abundant number, since it is smaller than the sum of its proper divisors (162948096).

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

68632704 is a wasteful number, since it uses less digits than its factorization.

68632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 68632704 is about 8284.4857414326. The cubic root of 68632704 is about 409.4275254477.

The spelling of 68632704 in words is "sixty-eight million, six hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 2837 3024 3456 4032 5674 6048 8064 8511 11348 12096 17022 19859 22696 24192 25533 34044 39718 45392 51066 59577 68088 76599 79436 90784 102132 119154 136176 153198 158872 178731 181568 204264 238308 272352 306396 317744 357462 363136 408528 476616 536193 544704 612792 635488 714924 817056 953232 1072386 1089408 1225584 1270976 1429848 1634112 1906464 2144772 2451168 2541952 2859696 3268224 3812928 4289544 4902336 5719392 7625856 8579088 9804672 11438784 17158176 22877568 34316352 68632704