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21314560 = 210523181
BaseRepresentation
bin101000101001…
…1110000000000
31111002220002011
41101103300000
520424031220
62040502304
7346112401
oct121236000
944086064
1021314560
1111038a43
12717a994
134553887
142b8b9a8
151d1065a
hex1453c00

21314560 has 88 divisors (see below), whose sum is σ = 53647776. Its totient is φ = 8110080.

The previous prime is 21314551. The next prime is 21314567. The reversal of 21314560 is 6541312.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21314567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117670 + ... + 117850.

It is a vampire number, since it can be written as 41635120 (with its own digits).

Almost surely, 221314560 is an apocalyptic number.

21314560 is a gapful number since it is divisible by the number (20) 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 21314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823888).

21314560 is an abundant number, since it is smaller than the sum of its proper divisors (32333216).

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

21314560 is a wasteful number, since it uses less digits than its factorization.

21314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 21314560 is about 4616.7694332726. The cubic root of 21314560 is about 277.2631314751.

Adding to 21314560 its reverse (6541312), we get a palindrome (27855872).

The spelling of 21314560 in words is "twenty-one million, three hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 181 184 230 256 320 362 368 460 512 640 724 736 905 920 1024 1280 1448 1472 1810 1840 2560 2896 2944 3620 3680 4163 5120 5792 5888 7240 7360 8326 11584 11776 14480 14720 16652 20815 23168 23552 28960 29440 33304 41630 46336 57920 58880 66608 83260 92672 115840 117760 133216 166520 185344 231680 266432 333040 463360 532864 666080 926720 1065728 1332160 2131456 2664320 4262912 5328640 10657280 21314560