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23923920 = 2435831201
BaseRepresentation
bin101101101000…
…0110011010000
31200000110110010
41123100303100
522111031140
62212434520
7410231016
oct133206320
950013403
1023923920
1112560439
128018a40
134c58487
14326a8b6
152178880
hex16d0cd0

23923920 has 80 divisors (see below), whose sum is σ = 75120192. Its totient is φ = 6297600.

The previous prime is 23923903. The next prime is 23923931. The reversal of 23923920 is 2932932.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19320 + ... + 20520.

Almost surely, 223923920 is an apocalyptic number.

23923920 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 23923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37560096).

23923920 is an abundant number, since it is smaller than the sum of its proper divisors (51196272).

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

23923920 is a wasteful number, since it uses less digits than its factorization.

23923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23923920 is about 4891.2084396394. The cubic root of 23923920 is about 288.1447960167.

The spelling of 23923920 in words is "twenty-three million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1201 1245 1328 1660 1992 2402 2490 3320 3603 3984 4804 4980 6005 6640 7206 9608 9960 12010 14412 18015 19216 19920 24020 28824 36030 48040 57648 72060 96080 99683 144120 199366 288240 299049 398732 498415 598098 797464 996830 1196196 1495245 1594928 1993660 2392392 2990490 3987320 4784784 5980980 7974640 11961960 23923920