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68631816 = 233112389127
BaseRepresentation
bin1000001011100…
…11110100001000
311210010212011010
410011303310020
5120032204231
610451003520
71462234521
oct405636410
9153125133
1068631816
1135817110
121ab995a0
13112acb56
149187848
15605a546
hex4173d08

68631816 has 128 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 19514880.

The previous prime is 68631811. The next prime is 68631847. The reversal of 68631816 is 61813686.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (68631811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540345 + ... + 540471.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 268631816 is an apocalyptic number.

68631816 is a gapful number since it is divisible by the number (66) 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 68631816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

68631816 is an abundant number, since it is smaller than the sum of its proper divisors (130433784).

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

68631816 is a wasteful number, since it uses less digits than its factorization.

68631816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 68631816 is about 8284.4321471058. The cubic root of 68631816 is about 409.4257596558.

The spelling of 68631816 in words is "sixty-eight million, six hundred thirty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 89 92 127 132 138 178 184 253 254 264 267 276 356 381 506 508 534 552 712 759 762 979 1012 1016 1068 1397 1518 1524 1958 2024 2047 2136 2794 2921 2937 3036 3048 3916 4094 4191 5588 5842 5874 6072 6141 7832 8188 8382 8763 11176 11303 11684 11748 12282 16376 16764 17526 22517 22606 23368 23496 24564 32131 33528 33909 35052 45034 45212 49128 64262 67551 67818 70104 90068 90424 96393 124333 128524 135102 135636 180136 192786 248666 257048 259969 270204 271272 372999 385572 497332 519938 540408 745998 771144 779907 994664 1039876 1491996 1559814 2079752 2859659 2983992 3119628 5719318 6239256 8578977 11438636 17157954 22877272 34315908 68631816