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23890560 = 273523541
BaseRepresentation
bin101101100100…
…0101010000000
31122221202200120
41123020222000
522103444220
62212020240
7410031531
oct133105200
948852616
1023890560
1112538371
128001680
134c46235
14325c688
15216da40
hex16c8a80

23890560 has 128 divisors (see below), whose sum is σ = 79608960. Its totient is φ = 6082560.

The previous prime is 23890549. The next prime is 23890561. The reversal of 23890560 is 6509832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×238905602 = 1141517714227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23890561) 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, 43890 + ... + 44430.

It is an arithmetic number, because the mean of its divisors is an integer number (621945).

Almost surely, 223890560 is an apocalyptic number.

23890560 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 23890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39804480).

23890560 is an abundant number, since it is smaller than the sum of its proper divisors (55718400).

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

23890560 is a wasteful number, since it uses less digits than its factorization.

23890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 23890560 is about 4887.7970497966. The cubic root of 23890560 is about 288.0108020640.

The spelling of 23890560 in words is "twenty-three million, eight hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 541 552 640 690 736 920 960 1082 1104 1380 1472 1623 1840 1920 2164 2208 2705 2760 2944 3246 3680 4328 4416 5410 5520 6492 7360 8115 8656 8832 10820 11040 12443 12984 14720 16230 17312 21640 22080 24886 25968 32460 34624 37329 43280 44160 49772 51936 62215 64920 69248 74658 86560 99544 103872 124430 129840 149316 173120 186645 199088 207744 248860 259680 298632 346240 373290 398176 497720 519360 597264 746580 796352 995440 1038720 1194528 1493160 1592704 1990880 2389056 2986320 3981760 4778112 5972640 7963520 11945280 23890560