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23863920 = 2435175849
BaseRepresentation
bin101101100001…
…0001001110000
31122220102010220
41123002021300
522102121140
62211253040
7406561053
oct133021160
948812126
1023863920
111251a353
127baa180
134c37082
143252a9a
152165bd0
hex16c2270

23863920 has 80 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 5988352.

The previous prime is 23863909. The next prime is 23863933. The reversal of 23863920 is 2936832.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1156 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 223863920 is an apocalyptic number.

23863920 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 23863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

23863920 is an abundant number, since it is smaller than the sum of its proper divisors (54479280).

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

23863920 is a wasteful number, since it uses less digits than its factorization.

23863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23863920 is about 4885.0711356131. The cubic root of 23863920 is about 287.9037100940.

The spelling of 23863920 in words is "twenty-three million, eight hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 5849 11698 17547 23396 29245 35094 46792 58490 70188 87735 93584 99433 116980 140376 175470 198866 233960 280752 298299 350940 397732 467920 497165 596598 701880 795464 994330 1193196 1403760 1491495 1590928 1988660 2386392 2982990 3977320 4772784 5965980 7954640 11931960 23863920