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131880192 = 283171719
BaseRepresentation
bin1111101110001…
…01010100000000
3100012011012121120
413313011110000
5232230131232
621030352240
73160651233
oct767052400
9305135546
10131880192
11684965a4
12381bb680
1321426522
141372d41a
15b8a092c
hex7dc5500

131880192 has 36 divisors (see below), whose sum is σ = 350995680. Its totient is φ = 43959808.

The previous prime is 131880191. The next prime is 131880233. The reversal of 131880192 is 291088131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131880191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85092 + ... + 86627.

It is an arithmetic number, because the mean of its divisors is an integer number (9749880).

Almost surely, 2131880192 is an apocalyptic number.

131880192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131880192 is an abundant number, since it is smaller than the sum of its proper divisors (219115488).

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

131880192 is an equidigital number, since it uses as much as digits as its factorization.

131880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171738 (or 171724 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 131880192 is about 11483.9101354896. The cubic root of 131880192 is about 509.0102449809.

The spelling of 131880192 in words is "one hundred thirty-one million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 171719 343438 515157 686876 1030314 1373752 2060628 2747504 4121256 5495008 8242512 10990016 16485024 21980032 32970048 43960064 65940096 131880192