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21372720 = 24351943109
BaseRepresentation
bin101000110000…
…1111100110000
31111012211212020
41101201330300
520432411340
62042031440
7346444065
oct121417460
944184766
1021372720
1111078706
1271a8580
1345741a5
142ba4c6c
151d229d0
hex1461f30

21372720 has 160 divisors (see below), whose sum is σ = 72019200. Its totient is φ = 5225472.

The previous prime is 21372719. The next prime is 21372737. The reversal of 21372720 is 2727312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196026 + ... + 196134.

It is an arithmetic number, because the mean of its divisors is an integer number (450120).

Almost surely, 221372720 is an apocalyptic number.

21372720 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 21372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36009600).

21372720 is an abundant number, since it is smaller than the sum of its proper divisors (50646480).

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

21372720 is a wasteful number, since it uses less digits than its factorization.

21372720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 21372720 is about 4623.0639190909. The cubic root of 21372720 is about 277.5150872407.

The spelling of 21372720 in words is "twenty-one million, three hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 43 48 57 60 76 80 86 95 109 114 120 129 152 172 190 215 218 228 240 258 285 304 327 344 380 430 436 456 516 545 570 645 654 688 760 817 860 872 912 1032 1090 1140 1290 1308 1520 1634 1635 1720 1744 2064 2071 2180 2280 2451 2580 2616 3268 3270 3440 4085 4142 4360 4560 4687 4902 5160 5232 6213 6536 6540 8170 8284 8720 9374 9804 10320 10355 12255 12426 13072 13080 14061 16340 16568 18748 19608 20710 23435 24510 24852 26160 28122 31065 32680 33136 37496 39216 41420 46870 49020 49704 56244 62130 65360 70305 74992 82840 89053 93740 98040 99408 112488 124260 140610 165680 178106 187480 196080 224976 248520 267159 281220 356212 374960 445265 497040 534318 562440 712424 890530 1068636 1124880 1335795 1424848 1781060 2137272 2671590 3562120 4274544 5343180 7124240 10686360 21372720