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21319296 = 27359941
BaseRepresentation
bin101000101010…
…0111010000000
31111010010120120
41101110322000
520424204141
62040540240
7346132245
oct121247200
944103516
1021319296
1111041559
127181680
134555a8b
142b8d5cc
151d11c66
hex1454e80

21319296 has 64 divisors (see below), whose sum is σ = 57650400. Its totient is φ = 6978560.

The previous prime is 21319283. The next prime is 21319301. The reversal of 21319296 is 69291312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 22186 + ... + 23126.

Almost surely, 221319296 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 21319296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28825200).

21319296 is an abundant number, since it is smaller than the sum of its proper divisors (36331104).

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

21319296 is an equidigital number, since it uses as much as digits as its factorization.

21319296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 21319296 is about 4617.2823175543. The cubic root of 21319296 is about 277.2836654973.

The spelling of 21319296 in words is "twenty-one million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 941 944 1416 1882 1888 2823 2832 3764 3776 5646 5664 7528 7552 11292 11328 15056 22584 22656 30112 45168 55519 60224 90336 111038 120448 166557 180672 222076 333114 361344 444152 666228 888304 1332456 1776608 2664912 3553216 5329824 7106432 10659648 21319296