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2870315136 = 273313292203
BaseRepresentation
bin1010101100010101…
…1000100010000000
321102001000010011000
42223011120202000
521334300041021
61152452452000
7131062163463
oct25305304200
97361003130
102870315136
111243244277
1268131a000
13369879330
141d32c92da
1511bec8b26
hexab158880

2870315136 has 256 divisors, whose sum is σ = 9441936000. Its totient is φ = 852332544.

The previous prime is 2870315113. The next prime is 2870315159. The reversal of 2870315136 is 6315130782.

It is an interprime number because it is at equal distance from previous prime (2870315113) and next prime (2870315159).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2870315136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301811 + ... + 1304013.

Almost surely, 22870315136 is an apocalyptic number.

2870315136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2870315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720968000).

2870315136 is an abundant number, since it is smaller than the sum of its proper divisors (6571620864).

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

2870315136 is a wasteful number, since it uses less digits than its factorization.

2870315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2870315136 is about 53575.3220802265. The cubic root of 2870315136 is about 1421.1607146590.

The spelling of 2870315136 in words is "two billion, eight hundred seventy million, three hundred fifteen thousand, one hundred thirty-six".