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21313488 = 2437229277
BaseRepresentation
bin101000101001…
…1011111010000
31111002211121110
41101103133100
520424012423
62040453320
7346106310
oct121233720
944084543
1021313488
1111038159
12717a240
134553241
142b8b440
151d10193
hex14537d0

21313488 has 80 divisors (see below), whose sum is σ = 63428480. Its totient is φ = 6041088.

The previous prime is 21313483. The next prime is 21313493. The reversal of 21313488 is 88431312.

It is an interprime number because it is at equal distance from previous prime (21313483) and next prime (21313493).

It is a super-2 number, since 2×213134882 = 908529541452288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76806 + ... + 77082.

It is an arithmetic number, because the mean of its divisors is an integer number (792856).

Almost surely, 221313488 is an apocalyptic number.

21313488 is a gapful number since it is divisible by the number (28) 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 21313488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31714240).

21313488 is an abundant number, since it is smaller than the sum of its proper divisors (42114992).

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

21313488 is a wasteful number, since it uses less digits than its factorization.

21313488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 21313488 is about 4616.6533333141. The cubic root of 21313488 is about 277.2584831493.

The spelling of 21313488 in words is "twenty-one million, three hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 277 336 458 554 687 831 916 1108 1374 1603 1662 1832 1939 2216 2748 3206 3324 3664 3878 4432 4809 5496 5817 6412 6648 7756 9618 10992 11634 12824 13296 15512 19236 23268 25648 31024 38472 46536 63433 76944 93072 126866 190299 253732 380598 444031 507464 761196 888062 1014928 1332093 1522392 1776124 2664186 3044784 3552248 5328372 7104496 10656744 21313488