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68986680 = 23357174831
BaseRepresentation
bin1000001110010…
…10011100111000
311210210212221020
410013022130320
5120130033210
610502342440
71465243230
oct407123470
9153725836
1068986680
1135a39794
121b12aa20
13113a5529
14923acc0
1560ca770
hex41ca738

68986680 has 128 divisors (see below), whose sum is σ = 250490880. Its totient is φ = 14837760.

The previous prime is 68986657. The next prime is 68986681. The reversal of 68986680 is 8668986.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68986681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11865 + ... + 16695.

It is an arithmetic number, because the mean of its divisors is an integer number (1956960).

Almost surely, 268986680 is an apocalyptic number.

68986680 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 68986680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125245440).

68986680 is an abundant number, since it is smaller than the sum of its proper divisors (181504200).

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

68986680 is a wasteful number, since it uses less digits than its factorization.

68986680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4869 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 68986680 is about 8305.8220544387. The cubic root of 68986680 is about 410.1301985866.

The spelling of 68986680 in words is "sixty-eight million, nine hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 4831 7140 9662 14280 14493 19324 24155 28986 33817 38648 48310 57972 67634 72465 82127 96620 101451 115944 135268 144930 164254 169085 193240 202902 246381 270536 289860 328508 338170 405804 410635 492762 507255 574889 579720 657016 676340 811608 821270 985524 1014510 1149778 1231905 1352680 1642540 1724667 1971048 2029020 2299556 2463810 2874445 3285080 3449334 4058040 4599112 4927620 5748890 6898668 8623335 9855240 11497780 13797336 17246670 22995560 34493340 68986680