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131913856 = 271317867
BaseRepresentation
bin1111101110011…
…01100010000000
3100012012220210101
413313031202000
5232232220411
621031212144
73161151334
oct767154200
9305186711
10131913856
1168509918
1238217054
1321438949
141373b7c4
15b8aa8c1
hex7dcd880

131913856 has 32 divisors (see below), whose sum is σ = 264836880. Its totient is φ = 65445120.

The previous prime is 131913853. The next prime is 131913869. The reversal of 131913856 is 658319131.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (131913853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12835 + ... + 20701.

Almost surely, 2131913856 is an apocalyptic number.

131913856 is a gapful number since it is divisible by the number (16) 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 131913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132418440).

131913856 is an abundant number, since it is smaller than the sum of its proper divisors (132923024).

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

131913856 is an equidigital number, since it uses as much as digits as its factorization.

131913856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8000 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 131913856 is about 11485.3757448331. The cubic root of 131913856 is about 509.0535516187.

The spelling of 131913856 in words is "one hundred thirty-one million, nine hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 2096 4192 7867 8384 15734 16768 31468 62936 125872 251744 503488 1006976 1030577 2061154 4122308 8244616 16489232 32978464 65956928 131913856