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23630432 = 257314183
BaseRepresentation
bin101101000100…
…1001001100000
31122110112212012
41122021021200
522022133212
62202252052
7404566250
oct132111140
948415765
1023630432
111237a991
127ab7028
134b84a07
1431d1960
15211b922
hex1689260

23630432 has 96 divisors (see below), whose sum is σ = 56899584. Its totient is φ = 9446400.

The previous prime is 23630423. The next prime is 23630513. The reversal of 23630432 is 23403632.

It is a junction number, because it is equal to n+sod(n) for n = 23630398 and 23630407.

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, 284663 + ... + 284745.

It is an arithmetic number, because the mean of its divisors is an integer number (592704).

Almost surely, 223630432 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 23630432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449792).

23630432 is an abundant number, since it is smaller than the sum of its proper divisors (33269152).

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

23630432 is a wasteful number, since it uses less digits than its factorization.

23630432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 23630432 is about 4861.1142755545. The cubic root of 23630432 is about 286.9616673543.

The spelling of 23630432 in words is "twenty-three million, six hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 82 83 112 124 164 166 217 224 248 287 328 332 434 496 574 581 656 664 868 992 1148 1162 1271 1312 1328 1736 2296 2324 2542 2573 2656 3403 3472 4592 4648 5084 5146 6806 6944 8897 9184 9296 10168 10292 13612 17794 18011 18592 20336 20584 23821 27224 35588 36022 40672 41168 47642 54448 71176 72044 82336 95284 105493 108896 142352 144088 190568 210986 284704 288176 381136 421972 576352 738451 762272 843944 1476902 1687888 2953804 3375776 5907608 11815216 23630432