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23883264 = 29327173
BaseRepresentation
bin101101100011…
…0111000000000
31122221101200100
41123012320000
522103231024
62211522400
7410001336
oct133067000
948841610
1023883264
1112532939
127bb9400
134c42b12
143259b56
15216b7c9
hex16c6e00

23883264 has 120 divisors (see below), whose sum is σ = 70857072. Its totient is φ = 7741440.

The previous prime is 23883263. The next prime is 23883271. The reversal of 23883264 is 46238832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23883263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327132 + ... + 327204.

Almost surely, 223883264 is an apocalyptic number.

23883264 is a gapful number since it is divisible by the number (24) 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 23883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35428536).

23883264 is an abundant number, since it is smaller than the sum of its proper divisors (46973808).

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

23883264 is an equidigital number, since it uses as much as digits as its factorization.

23883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 23883264 is about 4887.0506443048. The cubic root of 23883264 is about 287.9814802906.

The spelling of 23883264 in words is "twenty-three million, eight hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 73 96 128 142 144 146 192 213 219 256 284 288 292 384 426 438 512 568 576 584 639 657 768 852 876 1136 1152 1168 1278 1314 1536 1704 1752 2272 2304 2336 2556 2628 3408 3504 4544 4608 4672 5112 5183 5256 6816 7008 9088 9344 10224 10366 10512 13632 14016 15549 18176 18688 20448 20732 21024 27264 28032 31098 36352 37376 40896 41464 42048 46647 54528 56064 62196 81792 82928 84096 93294 109056 112128 124392 163584 165856 168192 186588 248784 327168 331712 336384 373176 497568 663424 746352 995136 1326848 1492704 1990272 2653696 2985408 3980544 5970816 7961088 11941632 23883264