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23565920 = 255753397
BaseRepresentation
bin101100111100…
…1011001100000
31122100021100212
41121321121200
522013102140
62201033252
7404210210
oct131713140
948307325
1023565920
1112336474
127a85828
134b61541
1431b6240
152107765
hex1679660

23565920 has 96 divisors (see below), whose sum is σ = 64991808. Its totient is φ = 7907328.

The previous prime is 23565907. The next prime is 23565923. The reversal of 23565920 is 2956532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23565923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59162 + ... + 59558.

It is an arithmetic number, because the mean of its divisors is an integer number (676998).

Almost surely, 223565920 is an apocalyptic number.

23565920 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 23565920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32495904).

23565920 is an abundant number, since it is smaller than the sum of its proper divisors (41425888).

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

23565920 is a wasteful number, since it uses less digits than its factorization.

23565920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 23565920 is about 4854.4742248775. The cubic root of 23565920 is about 286.7002905095.

The spelling of 23565920 in words is "twenty-three million, five hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 212 224 265 280 371 397 424 530 560 742 794 848 1060 1120 1484 1588 1696 1855 1985 2120 2779 2968 3176 3710 3970 4240 5558 5936 6352 7420 7940 8480 11116 11872 12704 13895 14840 15880 21041 22232 27790 29680 31760 42082 44464 55580 59360 63520 84164 88928 105205 111160 147287 168328 210410 222320 294574 336656 420820 444640 589148 673312 736435 841640 1178296 1472870 1683280 2356592 2945740 3366560 4713184 5891480 11782960 23565920