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21413664 = 253274353
BaseRepresentation
bin101000110101…
…1111100100000
31111021221000200
41101223330200
520440214124
62042545200
7350004336
oct121537440
944257020
1021413664
11110a6448
127208200
134589a0c
142bb5b56
151d2ebc9
hex146bf20

21413664 has 36 divisors (see below), whose sum is σ = 60895926. Its totient is φ = 7137792.

The previous prime is 21413647. The next prime is 21413677. The reversal of 21413664 is 46631412.

It can be written as a sum of positive squares in only one way, i.e., 16160400 + 5253264 = 4020^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36889 + ... + 37464.

Almost surely, 221413664 is an apocalyptic number.

21413664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21413664 is an abundant number, since it is smaller than the sum of its proper divisors (39482262).

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

21413664 is a wasteful number, since it uses less digits than its factorization.

21413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74369 (or 74358 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 21413664 is about 4627.4900324042. The cubic root of 21413664 is about 277.6921872953.

The spelling of 21413664 in words is "twenty-one million, four hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 74353 148706 223059 297412 446118 594824 669177 892236 1189648 1338354 1784472 2379296 2676708 3568944 5353416 7137888 10706832 21413664