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21376512 = 29324639
BaseRepresentation
bin101000110001…
…0111000000000
31111020001001200
41101202320000
520433022022
62042101200
7346461123
oct121427000
944201050
1021376512
1111080543
1271aa800
134575b31
142ba63ba
151d23bac
hex1462e00

21376512 has 60 divisors (see below), whose sum is σ = 61707360. Its totient is φ = 7123968.

The previous prime is 21376507. The next prime is 21376519. The reversal of 21376512 is 21567312.

It is a happy number.

21376512 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 651 + 2 = 666.

It is a super-2 number, since 2×213765122 = 913910530572288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (21376519) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2289 + ... + 6927.

It is an arithmetic number, because the mean of its divisors is an integer number (1028456).

Almost surely, 221376512 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 21376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30853680).

21376512 is an abundant number, since it is smaller than the sum of its proper divisors (40330848).

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

21376512 is an equidigital number, since it uses as much as digits as its factorization.

21376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4644 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 21376512 is about 4623.4740185276. The cubic root of 21376512 is about 277.5314987376.

It can be divided in two parts, 2137 and 6512, that added together give a square (8649 = 932).

The spelling of 21376512 in words is "twenty-one million, three hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4639 9278 13917 18556 27834 37112 41751 55668 74224 83502 111336 148448 167004 222672 296896 334008 445344 593792 668016 890688 1187584 1336032 1781376 2375168 2672064 3562752 5344128 7125504 10688256 21376512