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3039865920 = 2632572131657
BaseRepresentation
bin1011010100110000…
…1010110001000000
321211212001012002200
42311030022301000
522211201202140
61221350513200
7135221301600
oct26514126100
97755035080
103039865920
11131aa1a293
1270a065800
13395a32040
1420ba22c00
1512bd1b030
hexb530ac40

3039865920 has 504 divisors, whose sum is σ = 13106470104. Its totient is φ = 640991232.

The previous prime is 3039865919. The next prime is 3039865963. The reversal of 3039865920 is 295689303.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 3036450816 = 1848^2 + 55104^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1833732 + ... + 1835388.

It is an arithmetic number, because the mean of its divisors is an integer number (26004901).

Almost surely, 23039865920 is an apocalyptic number.

3039865920 is a gapful number since it is divisible by the number (30) 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 3039865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553235052).

3039865920 is an abundant number, since it is smaller than the sum of its proper divisors (10066604184).

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

3039865920 is a wasteful number, since it uses less digits than its factorization.

3039865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3039865920 is about 55134.9790967585. The cubic root of 3039865920 is about 1448.6099909538.

The spelling of 3039865920 in words is "three billion, thirty-nine million, eight hundred sixty-five thousand, nine hundred twenty".