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21414816 = 253274357
BaseRepresentation
bin101000110110…
…0001110100000
31111021222121100
41101230032200
520440233231
62042554400
7350010603
oct121541640
944258540
1021414816
11110a72a5
127208a00
13458a3b7
142bb633a
151d301e6
hex146c3a0

21414816 has 36 divisors (see below), whose sum is σ = 60899202. Its totient is φ = 7138176.

The previous prime is 21414803. The next prime is 21414853. The reversal of 21414816 is 61841412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21123216 + 291600 = 4596^2 + 540^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 21414816.

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, 36891 + ... + 37466.

Almost surely, 221414816 is an apocalyptic number.

It is an amenable number.

21414816 is an abundant number, since it is smaller than the sum of its proper divisors (39484386).

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

21414816 is a wasteful number, since it uses less digits than its factorization.

21414816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74373 (or 74362 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 21414816 is about 4627.6145042559. The cubic root of 21414816 is about 277.6971669142.

The spelling of 21414816 in words is "twenty-one million, four hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 74357 148714 223071 297428 446142 594856 669213 892284 1189712 1338426 1784568 2379424 2676852 3569136 5353704 7138272 10707408 21414816