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21312912 = 2432961251
BaseRepresentation
bin101000101001…
…1010110010000
31111002210211010
41101103112100
520424003122
62040450520
7346104525
oct121232620
944083733
1021312912
1111037785
127179a40
134552bba
142b8b14c
151d0ee0c
hex1453590

21312912 has 80 divisors (see below), whose sum is σ = 58121280. Its totient is φ = 6720000.

The previous prime is 21312911. The next prime is 21312913. The reversal of 21312912 is 21921312.

It is an interprime number because it is at equal distance from previous prime (21312911) and next prime (21312913).

It is not an unprimeable number, because it can be changed into a prime (21312911) 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, 84787 + ... + 85037.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 221312912 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 21312912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29060640).

21312912 is an abundant number, since it is smaller than the sum of its proper divisors (36808368).

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

21312912 is a wasteful number, since it uses less digits than its factorization.

21312912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 21312912 is about 4616.5909500409. The cubic root of 21312912 is about 277.2559854770.

Subtracting 21312912 from its reverse (21921312), we obtain a square (608400 = 7802).

The spelling of 21312912 in words is "twenty-one million, three hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 251 348 366 464 488 502 696 732 753 976 1004 1392 1464 1506 1769 2008 2928 3012 3538 4016 5307 6024 7076 7279 10614 12048 14152 14558 15311 21228 21837 28304 29116 30622 42456 43674 45933 58232 61244 84912 87348 91866 116464 122488 174696 183732 244976 349392 367464 444019 734928 888038 1332057 1776076 2664114 3552152 5328228 7104304 10656456 21312912