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15220968 = 23373432
BaseRepresentation
bin111010000100…
…000011101000
31001122022020120
4322010003220
512344032333
61302123240
7243243000
oct72040350
931568216
1015220968
118656814
125120520
1331cc0b9
142043000
151509db3
hexe840e8

15220968 has 96 divisors (see below), whose sum is σ = 45432000. Its totient is φ = 4247712.

The previous prime is 15220921. The next prime is 15220973. The reversal of 15220968 is 86902251.

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, 353955 + ... + 353997.

It is an arithmetic number, because the mean of its divisors is an integer number (473250).

Almost surely, 215220968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15220968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716000).

15220968 is an abundant number, since it is smaller than the sum of its proper divisors (30211032).

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

15220968 is an equidigital number, since it uses as much as digits as its factorization.

15220968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 15220968 is about 3901.4059004415. The cubic root of 15220968 is about 247.8263178662.

The spelling of 15220968 in words is "fifteen million, two hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 49 56 84 86 98 129 147 168 172 196 258 294 301 343 344 392 516 588 602 686 903 1029 1032 1176 1204 1372 1806 1849 2058 2107 2408 2744 3612 3698 4116 4214 5547 6321 7224 7396 8232 8428 11094 12642 12943 14749 14792 16856 22188 25284 25886 29498 38829 44247 44376 50568 51772 58996 77658 88494 90601 103544 117992 155316 176988 181202 271803 310632 353976 362404 543606 634207 724808 1087212 1268414 1902621 2174424 2536828 3805242 5073656 7610484 15220968