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15122968 = 2372173223
BaseRepresentation
bin111001101100…
…001000011000
31001110022210221
4321230020120
512332413333
61300045424
7242354200
oct71541030
931408727
1015122968
11859a123
125093874
133196603
142019400
1514dad2d
hexe6c218

15122968 has 48 divisors (see below), whose sum is σ = 33324480. Its totient is φ = 6414912.

The previous prime is 15122959. The next prime is 15122999. The reversal of 15122968 is 86922151.

It is a super-2 number, since 2×151229682 = 457408322258048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67705 + ... + 67927.

It is an arithmetic number, because the mean of its divisors is an integer number (694260).

Almost surely, 215122968 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 15122968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16662240).

15122968 is an abundant number, since it is smaller than the sum of its proper divisors (18201512).

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

15122968 is a wasteful number, since it uses less digits than its factorization.

15122968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 15122968 is about 3888.8260439367. The cubic root of 15122968 is about 247.2932967908.

The spelling of 15122968 in words is "fifteen million, one hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 173 196 223 346 392 446 692 892 1211 1384 1561 1784 2422 3122 4844 6244 8477 9688 10927 12488 16954 21854 33908 38579 43708 67816 77158 87416 154316 270053 308632 540106 1080212 1890371 2160424 3780742 7561484 15122968