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21198072 = 23371929229
BaseRepresentation
bin101000011011…
…1010011111000
31110212222021210
41100313103320
520411314242
62034203120
7345115650
oct120672370
943788253
1021198072
1110a69475
1271234a0
13451284c
142b5b360
151cdad9c
hex14374f8

21198072 has 128 divisors (see below), whose sum is σ = 66240000. Its totient is φ = 5515776.

The previous prime is 21198029. The next prime is 21198083. The reversal of 21198072 is 27089112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92454 + ... + 92682.

It is an arithmetic number, because the mean of its divisors is an integer number (517500).

Almost surely, 221198072 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 21198072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33120000).

21198072 is an abundant number, since it is smaller than the sum of its proper divisors (45041928).

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

21198072 is a wasteful number, since it uses less digits than its factorization.

21198072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 21198072 is about 4604.1364011072. The cubic root of 21198072 is about 276.7571104763.

The spelling of 21198072 in words is "twenty-one million, one hundred ninety-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 29 38 42 56 57 58 76 84 87 114 116 133 152 168 174 203 228 229 232 266 348 399 406 456 458 532 551 609 687 696 798 812 916 1064 1102 1218 1374 1596 1603 1624 1653 1832 2204 2436 2748 3192 3206 3306 3857 4351 4408 4809 4872 5496 6412 6612 6641 7714 8702 9618 11571 12824 13053 13224 13282 15428 17404 19236 19923 23142 26106 26564 30457 30856 34808 38472 39846 46284 46487 52212 53128 60914 79692 91371 92568 92974 104424 121828 126179 139461 159384 182742 185948 243656 252358 278922 365484 371896 378537 504716 557844 730968 757074 883253 1009432 1115688 1514148 1766506 2649759 3028296 3533012 5299518 7066024 10599036 21198072