Search a number
-
+
23925120 = 273517733
BaseRepresentation
bin101101101000…
…1000110000000
31200000112002120
41123101012000
522111100440
62212444240
7410234352
oct133210600
950015076
1023925120
111256132a
128019680
134c58b9b
14326b0d2
152178dd0
hex16d1180

23925120 has 128 divisors (see below), whose sum is σ = 80857440. Its totient is φ = 5996544.

The previous prime is 23925091. The next prime is 23925127. The reversal of 23925120 is 2152932.

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

It is a super-2 number, since 2×239251202 = 1144822734028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23925127) 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, 32274 + ... + 33006.

Almost surely, 223925120 is an apocalyptic number.

23925120 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 23925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40428720).

23925120 is an abundant number, since it is smaller than the sum of its proper divisors (56932320).

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

23925120 is a wasteful number, since it uses less digits than its factorization.

23925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 23925120 is about 4891.3311071732. The cubic root of 23925120 is about 288.1496136215.

The spelling of 23925120 in words is "twenty-three million, nine hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 733 816 960 1020 1088 1360 1466 1632 1920 2040 2176 2199 2720 2932 3264 3665 4080 4398 5440 5864 6528 7330 8160 8796 10880 10995 11728 12461 14660 16320 17592 21990 23456 24922 29320 32640 35184 37383 43980 46912 49844 58640 62305 70368 74766 87960 93824 99688 117280 124610 140736 149532 175920 186915 199376 234560 249220 281472 299064 351840 373830 398752 469120 498440 598128 703680 747660 797504 996880 1196256 1407360 1495320 1595008 1993760 2392512 2990640 3987520 4785024 5981280 7975040 11962560 23925120