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10563920 = 245132049
BaseRepresentation
bin101000010011…
…000101010000
3201212200222022
4220103011100
510201021140
61014231012
7155535413
oct50230520
921780868
1010563920
115a65914
123655468
13225b453
14158db7a
15dda0b5
hexa13150

10563920 has 20 divisors (see below), whose sum is σ = 24561300. Its totient is φ = 4225536.

The previous prime is 10563913. The next prime is 10563929. The reversal of 10563920 is 2936501.

It can be written as a sum of positive squares in 2 ways, for example, as 5125696 + 5438224 = 2264^2 + 2332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105639202 = 223192811532800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10563920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10563929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65945 + ... + 66104.

It is an arithmetic number, because the mean of its divisors is an integer number (1228065).

Almost surely, 210563920 is an apocalyptic number.

10563920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10563920 is an abundant number, since it is smaller than the sum of its proper divisors (13997380).

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

10563920 is a wasteful number, since it uses less digits than its factorization.

10563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132062 (or 132056 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 10563920 is about 3250.2184541966. The cubic root of 10563920 is about 219.4194057612.

The spelling of 10563920 in words is "ten million, five hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 132049 264098 528196 660245 1056392 1320490 2112784 2640980 5281960 10563920