Search a number
-
+
3131025696 = 2532234789113
BaseRepresentation
bin1011101010011111…
…1010100100100000
322002012120120210200
42322213322210200
522403020310241
61234404425200
7140406164541
oct27247724440
98065516720
103131025696
111367422a47
127346a8200
133ab89bb36
14219b924c8
15134d264b6
hexba9fa920

3131025696 has 288 divisors, whose sum is σ = 9680186880. Its totient is φ = 957530112.

The previous prime is 3131025679. The next prime is 3131025707. The reversal of 3131025696 is 6965201313.

3131025696 is a `hidden beast` number, since 3 + 1 + 310 + 256 + 96 = 666.

3131025696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 3131025696.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27708136 + ... + 27708248.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 23131025696 is an apocalyptic number.

3131025696 is a gapful number since it is divisible by the number (36) 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 3131025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

3131025696 is an abundant number, since it is smaller than the sum of its proper divisors (6549161184).

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

3131025696 is a wasteful number, since it uses less digits than its factorization.

3131025696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3131025696 is about 55955.5689453695. The cubic root of 3131025696 is about 1462.9479586796.

The spelling of 3131025696 in words is "three billion, one hundred thirty-one million, twenty-five thousand, six hundred ninety-six".