Search a number
-
+
23920512 = 273711809
BaseRepresentation
bin101101100111…
…1111110000000
31200000021202220
41123033332000
522110424022
62212411040
7410215050
oct133177600
950007686
1023920512
1112558920
128016a80
134c56a65
143269560
15217785c
hex16cff80

23920512 has 128 divisors (see below), whose sum is σ = 79315200. Its totient is φ = 6205440.

The previous prime is 23920493. The next prime is 23920531. The reversal of 23920512 is 21502932.

It is an interprime number because it is at equal distance from previous prime (23920493) and next prime (23920531).

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

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

It is a congruent number.

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, 29164 + ... + 29972.

It is an arithmetic number, because the mean of its divisors is an integer number (619650).

Almost surely, 223920512 is an apocalyptic number.

23920512 is a gapful number since it is divisible by the number (22) 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 23920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39657600).

23920512 is an abundant number, since it is smaller than the sum of its proper divisors (55394688).

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

23920512 is a wasteful number, since it uses less digits than its factorization.

23920512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 832 counting only the distinct ones).

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

The square root of 23920512 is about 4890.8600470674. The cubic root of 23920512 is about 288.1311131407.

The spelling of 23920512 in words is "twenty-three million, nine hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 809 896 924 1056 1232 1344 1408 1618 1848 2112 2427 2464 2688 3236 3696 4224 4854 4928 5663 6472 7392 8899 9708 9856 11326 12944 14784 16989 17798 19416 22652 25888 26697 29568 33978 35596 38832 45304 51776 53394 62293 67956 71192 77664 90608 103552 106788 124586 135912 142384 155328 181216 186879 213576 249172 271824 284768 310656 362432 373758 427152 498344 543648 569536 724864 747516 854304 996688 1087296 1139072 1495032 1708608 1993376 2174592 2990064 3417216 3986752 5980128 7973504 11960256 23920512