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23960832 = 28374457
BaseRepresentation
bin101101101100…
…1110100000000
31200002100002020
41123121310000
522113221312
62213321440
7410443440
oct133316400
950070066
1023960832
1112586145
128036280
134c6c20c
14327a120
15218478c
hex16d9d00

23960832 has 72 divisors (see below), whose sum is σ = 72897216. Its totient is φ = 6844416.

The previous prime is 23960821. The next prime is 23960857. The reversal of 23960832 is 23806932.

It is a junction number, because it is equal to n+sod(n) for n = 23960793 and 23960802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3148 + ... + 7604.

Almost surely, 223960832 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 23960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36448608).

23960832 is an abundant number, since it is smaller than the sum of its proper divisors (48936384).

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

23960832 is an equidigital number, since it uses as much as digits as its factorization.

23960832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23960832 is about 4894.9802859664. The cubic root of 23960832 is about 288.2929118680.

The spelling of 23960832 in words is "twenty-three million, nine hundred sixty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 4457 5376 8914 13371 17828 26742 31199 35656 53484 62398 71312 93597 106968 124796 142624 187194 213936 249592 285248 374388 427872 499184 570496 748776 855744 998368 1140992 1497552 1711488 1996736 2995104 3422976 3993472 5990208 7986944 11980416 23960832