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23013432 = 233213231069
BaseRepresentation
bin101011111001…
…0100000111000
31121022012111100
41113302200320
521342412212
62141131400
7366416361
oct127624070
947265440
1023013432
1111a99372
127859b60
1349c9c20
1430b0b68
152048bdc
hex15f2838

23013432 has 96 divisors (see below), whose sum is σ = 70106400. Its totient is φ = 6766848.

The previous prime is 23013383. The next prime is 23013433. The reversal of 23013432 is 23431032.

23013432 is a `hidden beast` number, since 230 + 1 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23013433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20994 + ... + 22062.

It is an arithmetic number, because the mean of its divisors is an integer number (730275).

Almost surely, 223013432 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 23013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35053200).

23013432 is an abundant number, since it is smaller than the sum of its proper divisors (47092968).

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

23013432 is a wasteful number, since it uses less digits than its factorization.

23013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23013432 is about 4797.2317017213. The cubic root of 23013432 is about 284.4420478223.

Adding to 23013432 its reverse (23431032), we get a palindrome (46444464).

The spelling of 23013432 in words is "twenty-three million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1069 1196 1656 1794 2138 2392 2691 3207 3588 4276 5382 6414 7176 8552 9621 10764 12828 13897 19242 21528 24587 25656 27794 38484 41691 49174 55588 73761 76968 83382 98348 111176 125073 147522 166764 196696 221283 250146 295044 319631 333528 442566 500292 590088 639262 885132 958893 1000584 1278524 1770264 1917786 2557048 2876679 3835572 5753358 7671144 11506716 23013432