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21415296 = 273731257
BaseRepresentation
bin101000110110…
…0010110000000
31111022000021010
41101230112000
520440242141
62043000520
7350012160
oct121542600
944260233
1021415296
11110a76a1
127209140
13458a696
142bb65a0
151d30416
hex146c580

21415296 has 128 divisors (see below), whose sum is σ = 67368960. Its totient is φ = 5898240.

The previous prime is 21415249. The next prime is 21415307. The reversal of 21415296 is 69251412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×214152962 = 917229805535232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83200 + ... + 83456.

It is an arithmetic number, because the mean of its divisors is an integer number (526320).

Almost surely, 221415296 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 21415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33684480).

21415296 is an abundant number, since it is smaller than the sum of its proper divisors (45953664).

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

21415296 is a wasteful number, since it uses less digits than its factorization.

21415296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 21415296 is about 4627.6663665394. Note that the first 3 decimals coincide. The cubic root of 21415296 is about 277.6992417028.

The spelling of 21415296 in words is "twenty-one million, four hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 257 336 372 384 434 448 496 514 651 672 744 771 868 896 992 1028 1302 1344 1488 1542 1736 1799 1984 2056 2604 2688 2976 3084 3472 3598 3968 4112 5208 5397 5952 6168 6944 7196 7967 8224 10416 10794 11904 12336 13888 14392 15934 16448 20832 21588 23901 24672 27776 28784 31868 32896 41664 43176 47802 49344 55769 57568 63736 83328 86352 95604 98688 111538 115136 127472 167307 172704 191208 223076 230272 254944 334614 345408 382416 446152 509888 669228 690816 764832 892304 1019776 1338456 1529664 1784608 2676912 3059328 3569216 5353824 7138432 10707648 21415296