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23696960 = 265771149
BaseRepresentation
bin101101001100…
…1011001000000
31122120221010012
41122121121000
522031300320
62203524052
7405264230
oct132313100
948527105
1023696960
1112415971
127b29628
134ba9091
14320bcc0
1521314c5
hex1699640

23696960 has 112 divisors (see below), whose sum is σ = 65836800. Its totient is φ = 7956480.

The previous prime is 23696957. The next prime is 23696987. The reversal of 23696960 is 6969632.

It is a tau number, because it is divible by the number of its divisors (112).

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, 158966 + ... + 159114.

Almost surely, 223696960 is an apocalyptic number.

23696960 is a gapful number since it is divisible by the number (20) 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 23696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918400).

23696960 is an abundant number, since it is smaller than the sum of its proper divisors (42139840).

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

23696960 is a wasteful number, since it uses less digits than its factorization.

23696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 23696960 is about 4867.9523415909. The cubic root of 23696960 is about 287.2307144573.

The spelling of 23696960 in words is "twenty-three million, six hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 71 80 112 140 142 149 160 224 280 284 298 320 355 448 497 560 568 596 710 745 994 1043 1120 1136 1192 1420 1490 1988 2086 2240 2272 2384 2485 2840 2980 3976 4172 4544 4768 4970 5215 5680 5960 7952 8344 9536 9940 10430 10579 11360 11920 15904 16688 19880 20860 21158 22720 23840 31808 33376 39760 41720 42316 47680 52895 66752 74053 79520 83440 84632 105790 148106 159040 166880 169264 211580 296212 333760 338528 370265 423160 592424 677056 740530 846320 1184848 1481060 1692640 2369696 2962120 3385280 4739392 5924240 11848480 23696960