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21992672 = 2513291823
BaseRepresentation
bin101001111100…
…1010011100000
31112101100021102
41103321103200
521112231142
62103213532
7354635402
oct123712340
945340242
1021992672
1111461469
1274472a8
134730420
142cc6b72
151de6532
hex14f94e0

21992672 has 48 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 9795072.

The previous prime is 21992657. The next prime is 21992693. The reversal of 21992672 is 27629912.

It is a super-3 number, since 3×219926723 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11153 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 221992672 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 21992672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

21992672 is an abundant number, since it is smaller than the sum of its proper divisors (26270368).

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

21992672 is a wasteful number, since it uses less digits than its factorization.

21992672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 21992672 is about 4689.6345273379. The cubic root of 21992672 is about 280.1728184830.

The spelling of 21992672 in words is "twenty-one million, nine hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 1823 3016 3646 6032 7292 12064 14584 23699 29168 47398 52867 58336 94796 105734 189592 211468 379184 422936 687271 758368 845872 1374542 1691744 2749084 5498168 10996336 21992672