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23812920 = 23335171297
BaseRepresentation
bin101101011010…
…1101100111000
31122210211012000
41122311230320
522044003140
62210221000
7406256265
oct132655470
948724160
1023812920
1112494aaa
127b84760
134c19ab1
14323c26c
152155a30
hex16b5b38

23812920 has 128 divisors (see below), whose sum is σ = 84110400. Its totient is φ = 5971968.

The previous prime is 23812913. The next prime is 23812933. The reversal of 23812920 is 2921832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17712 + ... + 19008.

Almost surely, 223812920 is an apocalyptic number.

23812920 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 23812920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42055200).

23812920 is an abundant number, since it is smaller than the sum of its proper divisors (60297480).

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

23812920 is a wasteful number, since it uses less digits than its factorization.

23812920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23812920 is about 4879.8483582997. The cubic root of 23812920 is about 287.6984691350.

The spelling of 23812920 in words is "twenty-three million, eight hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1297 1530 1836 2040 2295 2594 3060 3672 3891 4590 5188 6120 6485 7782 9180 10376 11673 12970 15564 18360 19455 22049 23346 25940 31128 35019 38910 44098 46692 51880 58365 66147 70038 77820 88196 93384 110245 116730 132294 140076 155640 175095 176392 198441 220490 233460 264588 280152 330735 350190 396882 440980 466920 529176 595323 661470 700380 793764 881960 992205 1190646 1322940 1400760 1587528 1984410 2381292 2645880 2976615 3968820 4762584 5953230 7937640 11906460 23812920