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68681640 = 23355310799
BaseRepresentation
bin1000001011111…
…11111110101000
311210020101111110
410011333332220
5120040303030
610452030320
71462533006
oct405777650
9153211443
1068681640
1135850595
121b0023a0
13112c9731
14919ba76
15606a1b0
hex417ffa8

68681640 has 64 divisors (see below), whose sum is σ = 209952000. Its totient is φ = 17967872.

The previous prime is 68681629. The next prime is 68681651. The reversal of 68681640 is 4618686.

It is an interprime number because it is at equal distance from previous prime (68681629) and next prime (68681651).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961 + ... + 11759.

It is an arithmetic number, because the mean of its divisors is an integer number (3280500).

Almost surely, 268681640 is an apocalyptic number.

68681640 is a gapful number since it is divisible by the number (60) 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 68681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104976000).

68681640 is an abundant number, since it is smaller than the sum of its proper divisors (141270360).

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

68681640 is a wasteful number, since it uses less digits than its factorization.

68681640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68681640 is about 8287.4386875560. The cubic root of 68681640 is about 409.5248113585.

The spelling of 68681640 in words is "sixty-eight million, six hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 10799 21598 32397 43196 53995 64794 86392 107990 129588 161985 215980 259176 323970 431960 572347 647940 1144694 1295880 1717041 2289388 2861735 3434082 4578776 5723470 6868164 8585205 11446940 13736328 17170410 22893880 34340820 68681640