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131670016 = 21316073
BaseRepresentation
bin1111101100100…
…10000000000000
3100011202112022021
413312102000000
5232201420031
621022051224
73156114412
oct766220000
9304675267
10131670016
11683626a5
1238119b14
132138196a
14136b69b2
15b85d511
hex7d92000

131670016 has 28 divisors (see below), whose sum is σ = 263340342. Its totient is φ = 65830912.

The previous prime is 131669987. The next prime is 131670017. The reversal of 131670016 is 610076131.

It is a happy number.

131670016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125440000 + 6230016 = 11200^2 + 2496^2 .

It is a super-2 number, since 2×1316700162 = 34673986226880512, which contains 22 as substring.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (131670017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156 + ... + 16228.

Almost surely, 2131670016 is an apocalyptic number.

131670016 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 131670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131670171).

131670016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131670016 is an frugal number, since it uses more digits than its factorization.

131670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16099 (or 16075 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 131670016 is about 11474.7555965258. The cubic root of 131670016 is about 508.7396998802.

The spelling of 131670016 in words is "one hundred thirty-one million, six hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16073 32146 64292 128584 257168 514336 1028672 2057344 4114688 8229376 16458752 32917504 65835008 131670016