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21939120 = 2433571451
BaseRepresentation
bin101001110110…
…0001110110000
31112021121211000
41103230032300
521104022440
62102122000
7354323310
oct123541660
945247730
1021939120
1111425205
127420300
134711c38
142cb1440
151dd5730
hex14ec3b0

21939120 has 160 divisors (see below), whose sum is σ = 86423040. Its totient is φ = 5011200.

The previous prime is 21939107. The next prime is 21939121. The reversal of 21939120 is 2193912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21939121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14395 + ... + 15845.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 221939120 is an apocalyptic number.

21939120 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 21939120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43211520).

21939120 is an abundant number, since it is smaller than the sum of its proper divisors (64483920).

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

21939120 is a wasteful number, since it uses less digits than its factorization.

21939120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 21939120 is about 4683.9214340123. The cubic root of 21939120 is about 279.9452273815.

The spelling of 21939120 in words is "twenty-one million, nine hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1451 1512 1680 1890 2160 2520 2902 3024 3780 4353 5040 5804 7255 7560 8706 10157 11608 13059 14510 15120 17412 20314 21765 23216 26118 29020 30471 34824 39177 40628 43530 50785 52236 58040 60942 65295 69648 78354 81256 87060 91413 101570 104472 116080 121884 130590 152355 156708 162512 174120 182826 195885 203140 208944 243768 261180 274239 304710 313416 348240 365652 391770 406280 457065 487536 522360 548478 609420 626832 731304 783540 812560 914130 1044720 1096956 1218840 1371195 1462608 1567080 1828260 2193912 2437680 2742390 3134160 3656520 4387824 5484780 7313040 10969560 21939120