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68831460 = 223251273011
BaseRepresentation
bin1000001101001…
…00100011100100
311210112000000100
410012210203210
5120110101320
610455144100
71464025545
oct406444344
9153460010
1068831460
1135943105
121b075030
131134c999
1491da4cc
156099790
hex41a48e4

68831460 has 72 divisors (see below), whose sum is σ = 210502656. Its totient is φ = 18204480.

The previous prime is 68831437. The next prime is 68831473. The reversal of 68831460 is 6413886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21355 + ... + 24365.

It is an arithmetic number, because the mean of its divisors is an integer number (2923648).

Almost surely, 268831460 is an apocalyptic number.

68831460 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 68831460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105251328).

68831460 is an abundant number, since it is smaller than the sum of its proper divisors (141671196).

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

68831460 is a wasteful number, since it uses less digits than its factorization.

68831460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68831460 is about 8296.4727444861. The cubic root of 68831460 is about 409.8223700102.

The spelling of 68831460 in words is "sixty-eight million, eight hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3011 3810 4572 5715 6022 7620 9033 11430 12044 15055 18066 22860 27099 30110 36132 45165 54198 60220 90330 108396 135495 180660 270990 382397 541980 764794 1147191 1529588 1911985 2294382 3441573 3823970 4588764 5735955 6883146 7647940 11471910 13766292 17207865 22943820 34415730 68831460