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21053088 = 25337592
BaseRepresentation
bin101000001001…
…1111010100000
31110121121102000
41100103322200
520342144323
62031124000
7343643160
oct120237240
943547360
1021053088
111097a551
127073600
134491864
142b205a0
151cace43
hex1413ea0

21053088 has 144 divisors (see below), whose sum is σ = 71386560. Its totient is φ = 5913216.

The previous prime is 21053077. The next prime is 21053093. The reversal of 21053088 is 88035012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356803 + ... + 356861.

It is an arithmetic number, because the mean of its divisors is an integer number (495740).

Almost surely, 221053088 is an apocalyptic number.

21053088 is a gapful number since it is divisible by the number (28) 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 21053088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35693280).

21053088 is an abundant number, since it is smaller than the sum of its proper divisors (50333472).

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

21053088 is an equidigital number, since it uses as much as digits as its factorization.

21053088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21053088 is about 4588.3644144728. The cubic root of 21053088 is about 276.1247073491.

The spelling of 21053088 in words is "twenty-one million, fifty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 59 63 72 84 96 108 112 118 126 144 168 177 189 216 224 236 252 288 336 354 378 413 432 472 504 531 672 708 756 826 864 944 1008 1062 1239 1416 1512 1593 1652 1888 2016 2124 2478 2832 3024 3186 3304 3481 3717 4248 4956 5664 6048 6372 6608 6962 7434 8496 9912 10443 11151 12744 13216 13924 14868 16992 19824 20886 22302 24367 25488 27848 29736 31329 39648 41772 44604 48734 50976 55696 59472 62658 73101 83544 89208 93987 97468 111392 118944 125316 146202 167088 178416 187974 194936 219303 250632 292404 334176 356832 375948 389872 438606 501264 584808 657909 751896 779744 877212 1002528 1169616 1315818 1503792 1754424 2339232 2631636 3007584 3508848 5263272 7017696 10526544 21053088