Search a number
-
+
23083920 = 2433510687
BaseRepresentation
bin101100000001…
…1101110010000
31121102210012000
41120003232100
521402141140
62142434000
7400132026
oct130035620
947383160
1023083920
1112037322
127892900
134a23032
1430cc716
15205ea30
hex1603b90

23083920 has 80 divisors (see below), whose sum is σ = 79518720. Its totient is φ = 6155136.

The previous prime is 23083891. The next prime is 23083961. The reversal of 23083920 is 2938032.

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 (27).

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, 3184 + ... + 7503.

It is an arithmetic number, because the mean of its divisors is an integer number (993984).

Almost surely, 223083920 is an apocalyptic number.

23083920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23083920 is an abundant number, since it is smaller than the sum of its proper divisors (56434800).

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

23083920 is a wasteful number, since it uses less digits than its factorization.

23083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10697 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23083920 is about 4804.5728218022. The cubic root of 23083920 is about 284.7321583348.

The spelling of 23083920 in words is "twenty-three million, eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 10687 21374 32061 42748 53435 64122 85496 96183 106870 128244 160305 170992 192366 213740 256488 288549 320610 384732 427480 480915 512976 577098 641220 769464 854960 961830 1154196 1282440 1442745 1538928 1923660 2308392 2564880 2885490 3847320 4616784 5770980 7694640 11541960 23083920