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21901872 = 2433141359
BaseRepresentation
bin101001110001…
…1001000110000
31112012201201110
41103203020300
521101324442
62101233320
7354106566
oct123431060
945181643
1021901872
11113aa223
127402840
1346cacb5
142ca1a36
151dc969c
hex14e3230

21901872 has 80 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6873600.

The previous prime is 21901853. The next prime is 21901897. The reversal of 21901872 is 27810912.

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, 60829 + ... + 61187.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 221901872 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 21901872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

21901872 is an abundant number, since it is smaller than the sum of its proper divisors (38094288).

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

21901872 is a wasteful number, since it uses less digits than its factorization.

21901872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

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

The square root of 21901872 is about 4679.9435894036. The cubic root of 21901872 is about 279.7867083133.

The spelling of 21901872 in words is "twenty-one million, nine hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 359 372 492 496 656 718 744 984 1077 1271 1436 1488 1968 2154 2542 2872 3813 4308 5084 5744 7626 8616 10168 11129 14719 15252 17232 20336 22258 29438 30504 33387 44157 44516 58876 61008 66774 88314 89032 117752 133548 176628 178064 235504 267096 353256 456289 534192 706512 912578 1368867 1825156 2737734 3650312 5475468 7300624 10950936 21901872