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21731328 = 21134131
BaseRepresentation
bin101001011100…
…1100000000000
31111220001210000
41102321200000
521030400303
62053440000
7352466433
oct122714000
944801700
1021731328
11112a3083
127340000
13466b498
142c5981a
151d93da3
hex14b9800

21731328 has 120 divisors (see below), whose sum is σ = 65405340. Its totient is φ = 7188480.

The previous prime is 21731317. The next prime is 21731363. The reversal of 21731328 is 82313712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165823 + ... + 165953.

Almost surely, 221731328 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 21731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32702670).

21731328 is an abundant number, since it is smaller than the sum of its proper divisors (43674012).

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

21731328 is an equidigital number, since it uses as much as digits as its factorization.

21731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 21731328 is about 4661.6872481967. The cubic root of 21731328 is about 279.0586071816.

The spelling of 21731328 in words is "twenty-one million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 256 262 288 324 384 393 432 512 524 576 648 768 786 864 1024 1048 1152 1179 1296 1536 1572 1728 2048 2096 2304 2358 2592 3072 3144 3456 3537 4192 4608 4716 5184 6144 6288 6912 7074 8384 9216 9432 10368 10611 12576 13824 14148 16768 18432 18864 20736 21222 25152 27648 28296 33536 37728 41472 42444 50304 55296 56592 67072 75456 82944 84888 100608 113184 134144 150912 165888 169776 201216 226368 268288 301824 339552 402432 452736 603648 679104 804864 905472 1207296 1358208 1810944 2414592 2716416 3621888 5432832 7243776 10865664 21731328