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68816640 = 283517921
BaseRepresentation
bin1000001101000…
…00111100000000
311210111020200110
410012200330000
5120104113030
610454551320
71463634414
oct406407400
9153436613
1068816640
1135932a62
121b068540
1311346009
1491d4d44
1560951b0
hex41a0f00

68816640 has 72 divisors (see below), whose sum is σ = 219795408. Its totient is φ = 18350080.

The previous prime is 68816609. The next prime is 68816647. The reversal of 68816640 is 4661886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68816647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5121 + ... + 12800.

It is an arithmetic number, because the mean of its divisors is an integer number (3052714).

Almost surely, 268816640 is an apocalyptic number.

68816640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68816640 is an abundant number, since it is smaller than the sum of its proper divisors (150978768).

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

68816640 is a wasteful number, since it uses less digits than its factorization.

68816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945 (or 17931 counting only the distinct ones).

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

The square root of 68816640 is about 8295.5795457581. The cubic root of 68816640 is about 409.7929551492.

The spelling of 68816640 in words is "sixty-eight million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 17921 35842 53763 71684 89605 107526 143368 179210 215052 268815 286736 358420 430104 537630 573472 716840 860208 1075260 1146944 1433680 1720416 2150520 2293888 2867360 3440832 4301040 4587776 5734720 6881664 8602080 11469440 13763328 17204160 22938880 34408320 68816640