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68369664 = 283118093
BaseRepresentation
bin1000001001100…
…11110100000000
311202122112112210
410010303310000
5120000312124
610441222120
71460063316
oct404636400
9152575483
1068369664
1135658160
121aa91940
131121a72c
14911a0b6
156007a29
hex4133d00

68369664 has 72 divisors (see below), whose sum is σ = 198529632. Its totient is φ = 20715520.

The previous prime is 68369659. The next prime is 68369677. The reversal of 68369664 is 46696386.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4402 + ... + 12494.

It is an arithmetic number, because the mean of its divisors is an integer number (2757356).

Almost surely, 268369664 is an apocalyptic number.

68369664 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 68369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99264816).

68369664 is an abundant number, since it is smaller than the sum of its proper divisors (130159968).

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

68369664 is a wasteful number, since it uses less digits than its factorization.

68369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8109 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 68369664 is about 8268.5950438995. The cubic root of 68369664 is about 408.9038018785.

The spelling of 68369664 in words is "sixty-eight million, three hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8093 8448 16186 24279 32372 48558 64744 89023 97116 129488 178046 194232 258976 267069 356092 388464 517952 534138 712184 776928 1035904 1068276 1424368 1553856 2071808 2136552 2848736 3107712 4273104 5697472 6215424 8546208 11394944 17092416 22789888 34184832 68369664