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2315013960 = 2335719731987
BaseRepresentation
bin1000100111111100…
…0100111101001000
312222100002220010210
42021333010331020
514220120421320
61021414441120
7111240202560
oct21177047510
95870086123
102315013960
11a88846286
125473631a0
132ab800c5c
1417d659da0
15d838a0e0
hex89fc4f48

2315013960 has 256 divisors, whose sum is σ = 8473651200. Its totient is φ = 494180352.

The previous prime is 2315013923. The next prime is 2315013997. The reversal of 2315013960 is 693105132.

2315013960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2315013923) and next prime (2315013997).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164087 + ... + 1166073.

It is an arithmetic number, because the mean of its divisors is an integer number (33100200).

Almost surely, 22315013960 is an apocalyptic number.

2315013960 is a gapful number since it is divisible by the number (20) 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 2315013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236825600).

2315013960 is an abundant number, since it is smaller than the sum of its proper divisors (6158637240).

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

2315013960 is a wasteful number, since it uses less digits than its factorization.

2315013960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 2315013960 is about 48114.5919654319. The cubic root of 2315013960 is about 1322.8721436789.

The spelling of 2315013960 in words is "two billion, three hundred fifteen million, thirteen thousand, nine hundred sixty".