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23389920 = 2532537439
BaseRepresentation
bin101100100111…
…0011011100000
31122000022221100
41121032123200
521441434140
62153154400
7402545121
oct131163340
948008840
1023389920
1112226214
1279bba00
134acc3b8
14316c048
1520c0530
hex164e6e0

23389920 has 144 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 6054912.

The previous prime is 23389913. The next prime is 23389963. The reversal of 23389920 is 2998332.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53061 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 223389920 is an apocalyptic number.

23389920 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 23389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

23389920 is an abundant number, since it is smaller than the sum of its proper divisors (58772160).

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

23389920 is a wasteful number, since it uses less digits than its factorization.

23389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 23389920 is about 4836.3126449807. The cubic root of 23389920 is about 285.9847743211.

The spelling of 23389920 in words is "twenty-three million, three hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 439 444 480 555 592 666 720 740 878 888 1110 1184 1317 1332 1440 1480 1665 1756 1776 2195 2220 2634 2664 2960 3330 3512 3552 3951 4390 4440 5268 5328 5920 6585 6660 7024 7902 8780 8880 10536 10656 13170 13320 14048 15804 16243 17560 17760 19755 21072 26340 26640 31608 32486 35120 39510 42144 48729 52680 53280 63216 64972 70240 79020 81215 97458 105360 126432 129944 146187 158040 162430 194916 210720 243645 259888 292374 316080 324860 389832 487290 519776 584748 632160 649720 730935 779664 974580 1169496 1299440 1461870 1559328 1949160 2338992 2598880 2923740 3898320 4677984 5847480 7796640 11694960 23389920