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10820513960 = 235270512849
BaseRepresentation
bin10100001001111001…
…11111000010101000
31000221002201001200022
422010330333002220
5134130022421320
64545413100012
7532066564634
oct120474770250
930832631608
1010820513960
114652997323
12211b927608
1310359a36a9
1474910bdc4
15434e38325
hex284f3f0a8

10820513960 has 16 divisors (see below), whose sum is σ = 24346156500. Its totient is φ = 4328205568.

The previous prime is 10820513929. The next prime is 10820513969. The reversal of 10820513960 is 6931502801.

It can be written as a sum of positive squares in 2 ways, for example, as 10642398244 + 178115716 = 103162^2 + 13346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10820513960.

It is not an unprimeable number, because it can be changed into a prime (10820513969) 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, 135256385 + ... + 135256464.

Almost surely, 210820513960 is an apocalyptic number.

10820513960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820513960 is an abundant number, since it is smaller than the sum of its proper divisors (13525642540).

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

10820513960 is a wasteful number, since it uses less digits than its factorization.

10820513960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270512860 (or 270512856 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 10820513960 in words is "ten billion, eight hundred twenty million, five hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 270512849 541025698 1082051396 1352564245 2164102792 2705128490 5410256980 10820513960