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131897856 = 293431997
BaseRepresentation
bin1111101110010…
…01101000000000
3100012012002211210
413313021220000
5232231212411
621031010120
73161053566
oct767115000
9305162753
10131897856
11684a88a2
1238209940
132143158c
1413735a36
15b8a5ca6
hex7dc9a00

131897856 has 80 divisors (see below), whose sum is σ = 359735904. Its totient is φ = 42921984.

The previous prime is 131897851. The next prime is 131897881. The reversal of 131897856 is 658798131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131897851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65050 + ... + 67046.

Almost surely, 2131897856 is an apocalyptic number.

131897856 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 131897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179867952).

131897856 is an abundant number, since it is smaller than the sum of its proper divisors (227838048).

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

131897856 is an equidigital number, since it uses as much as digits as its factorization.

131897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 131897856 is about 11484.6791857674. The cubic root of 131897856 is about 509.0329695348.

The spelling of 131897856 in words is "one hundred thirty-one million, eight hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 1997 2064 2752 3994 4128 5504 5991 7988 8256 11008 11982 15976 16512 22016 23964 31952 33024 47928 63904 66048 85871 95856 127808 171742 191712 255616 257613 343484 383424 511232 515226 686968 766848 1022464 1030452 1373936 1533696 2060904 2747872 3067392 4121808 5495744 8243616 10991488 16487232 21982976 32974464 43965952 65948928 131897856