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21692960 = 255135581
BaseRepresentation
bin101001011000…
…0001000100000
31111211010010222
41102300020200
521023133320
62052542212
7352246532
oct122601040
944733128
1021692960
1111277273
127321968
134656b93
142c49852
151d87825
hex14b0220

21692960 has 24 divisors (see below), whose sum is σ = 51249996. Its totient is φ = 8677120.

The previous prime is 21692959. The next prime is 21692971. The reversal of 21692960 is 6929612.

It can be written as a sum of positive squares in 2 ways, for example, as 21418384 + 274576 = 4628^2 + 524^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21692960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67631 + ... + 67950.

Almost surely, 221692960 is an apocalyptic number.

21692960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21692960 is an abundant number, since it is smaller than the sum of its proper divisors (29557036).

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

21692960 is a wasteful number, since it uses less digits than its factorization.

21692960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135596 (or 135588 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 21692960 is about 4657.5701819726. The cubic root of 21692960 is about 278.8942787050.

The spelling of 21692960 in words is "twenty-one million, six hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 135581 271162 542324 677905 1084648 1355810 2169296 2711620 4338592 5423240 10846480 21692960