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3139392960 = 2632511412417
BaseRepresentation
bin1011101100011111…
…0101010111000000
322002210022200112100
42323013311113000
522412141033320
61235304030400
7140540254104
oct27307652700
98083280470
103139392960
111371118440
12737462400
133b053b492
1421ad2d904
1513592a790
hexbb1f55c0

3139392960 has 336 divisors, whose sum is σ = 12072164832. Its totient is φ = 742195200.

The previous prime is 3139392931. The next prime is 3139392989. The reversal of 3139392960 is 692939313.

It is an interprime number because it is at equal distance from previous prime (3139392931) and next prime (3139392989).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297672 + ... + 1300088.

It is an arithmetic number, because the mean of its divisors is an integer number (35929062).

Almost surely, 23139392960 is an apocalyptic number.

3139392960 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 3139392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036082416).

3139392960 is an abundant number, since it is smaller than the sum of its proper divisors (8932771872).

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

3139392960 is a wasteful number, since it uses less digits than its factorization.

3139392960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 3139392960 is about 56030.2860960035. The cubic root of 3139392960 is about 1464.2499797087.

The spelling of 3139392960 in words is "three billion, one hundred thirty-nine million, three hundred ninety-two thousand, nine hundred sixty".