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68931840 = 283529619
BaseRepresentation
bin1000001101111…
…01000100000000
311210201002201010
410012331010000
5120121304330
610501240520
71464624315
oct406750400
9153632633
1068931840
1135a0156a
121b103140
1311386593
149224d0c
1560b93b0
hex41bd100

68931840 has 144 divisors (see below), whose sum is σ = 228110400. Its totient is φ = 17719296.

The previous prime is 68931839. The next prime is 68931893. The reversal of 68931840 is 4813986.

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, 111051 + ... + 111669.

It is an arithmetic number, because the mean of its divisors is an integer number (1584100).

Almost surely, 268931840 is an apocalyptic number.

68931840 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 68931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

68931840 is an abundant number, since it is smaller than the sum of its proper divisors (159178560).

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

68931840 is a wasteful number, since it uses less digits than its factorization.

68931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

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

The square root of 68931840 is about 8302.5200993433. The cubic root of 68931840 is about 410.0214940149.

The spelling of 68931840 in words is "sixty-eight million, nine hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 619 640 696 768 870 928 960 1160 1238 1280 1392 1740 1856 1857 1920 2320 2476 2784 3095 3480 3712 3714 3840 4640 4952 5568 6190 6960 7424 7428 9280 9285 9904 11136 12380 13920 14856 17951 18560 18570 19808 22272 24760 27840 29712 35902 37120 37140 39616 49520 53853 55680 59424 71804 74280 79232 89755 99040 107706 111360 118848 143608 148560 158464 179510 198080 215412 237696 269265 287216 297120 359020 396160 430824 475392 538530 574432 594240 718040 792320 861648 1077060 1148864 1188480 1436080 1723296 2154120 2297728 2376960 2872160 3446592 4308240 4595456 5744320 6893184 8616480 11488640 13786368 17232960 22977280 34465920 68931840