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21268832 = 2513294143
BaseRepresentation
bin101000100100…
…0100101100000
31111000120100112
41101020211200
520421100312
62035510452
7345532154
oct121104540
944016315
1021268832
1111007652
127158428
134538b10
142b79064
151d01d22
hex1448960

21268832 has 96 divisors (see below), whose sum is σ = 48898080. Its totient is φ = 9031680.

The previous prime is 21268829. The next prime is 21268837. The reversal of 21268832 is 23886212.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (9216) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21268837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494603 + ... + 494645.

It is an arithmetic number, because the mean of its divisors is an integer number (509355).

Almost surely, 221268832 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 21268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449040).

21268832 is an abundant number, since it is smaller than the sum of its proper divisors (27629248).

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

21268832 is a wasteful number, since it uses less digits than its factorization.

21268832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 21268832 is about 4611.8143934898. The cubic root of 21268832 is about 277.0647105178.

The spelling of 21268832 in words is "twenty-one million, two hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 41 43 52 58 82 86 104 116 164 172 208 232 328 344 377 416 464 533 559 656 688 754 928 1066 1118 1189 1247 1312 1376 1508 1763 2132 2236 2378 2494 3016 3526 4264 4472 4756 4988 6032 7052 8528 8944 9512 9976 12064 14104 15457 16211 17056 17888 19024 19952 22919 28208 30914 32422 38048 39904 45838 51127 56416 61828 64844 91676 102254 123656 129688 183352 204508 247312 259376 366704 409016 494624 518752 664651 733408 818032 1329302 1636064 2658604 5317208 10634416 21268832