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23240736 = 253337727
BaseRepresentation
bin101100010101…
…0000000100000
31121201202022000
41120222000200
521422200421
62150044000
7401354151
oct130520040
947652260
1023240736
1112134122
127949600
134a7951c
14312d928
152091226
hex162a020

23240736 has 96 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 7527168.

The previous prime is 23240729. The next prime is 23240753. The reversal of 23240736 is 63704232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31605 + ... + 32331.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 223240736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

23240736 is an abundant number, since it is smaller than the sum of its proper divisors (46472544).

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

23240736 is a wasteful number, since it uses less digits than its factorization.

23240736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23240736 is about 4820.8646527361. The cubic root of 23240736 is about 285.3754608270.

Adding to 23240736 its reverse (63704232), we get a palindrome (86944968).

The spelling of 23240736 in words is "twenty-three million, two hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 727 864 888 999 1184 1332 1454 1776 1998 2181 2664 2908 3552 3996 4362 5328 5816 6543 7992 8724 10656 11632 13086 15984 17448 19629 23264 26172 26899 31968 34896 39258 52344 53798 69792 78516 80697 104688 107596 157032 161394 209376 215192 242091 314064 322788 430384 484182 628128 645576 726273 860768 968364 1291152 1452546 1936728 2582304 2905092 3873456 5810184 7746912 11620368 23240736