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21313920 = 273517653
BaseRepresentation
bin101000101001…
…1100110000000
31111002212012110
41101103212000
520424021140
62040455320
7346110465
oct121234600
944085173
1021313920
1111038511
12717a540
1345534b4
142b8b66c
151d10380
hex1453980

21313920 has 128 divisors (see below), whose sum is σ = 72044640. Its totient is φ = 5341184.

The previous prime is 21313913. The next prime is 21313931. The reversal of 21313920 is 2931312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32314 + ... + 32966.

Almost surely, 221313920 is an apocalyptic number.

21313920 is a gapful number since it is divisible by the number (20) 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 21313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36022320).

21313920 is an abundant number, since it is smaller than the sum of its proper divisors (50730720).

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

21313920 is a wasteful number, since it uses less digits than its factorization.

21313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 21313920 is about 4616.7001202157. The cubic root of 21313920 is about 277.2603563739.

The spelling of 21313920 in words is "twenty-one million, three hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 653 680 816 960 1020 1088 1306 1360 1632 1920 1959 2040 2176 2612 2720 3264 3265 3918 4080 5224 5440 6528 6530 7836 8160 9795 10448 10880 11101 13060 15672 16320 19590 20896 22202 26120 31344 32640 33303 39180 41792 44404 52240 55505 62688 66606 78360 83584 88808 104480 111010 125376 133212 156720 166515 177616 208960 222020 250752 266424 313440 333030 355232 417920 444040 532848 626880 666060 710464 888080 1065696 1253760 1332120 1420928 1776160 2131392 2664240 3552320 4262784 5328480 7104640 10656960 21313920