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131262072 = 2338596367
BaseRepresentation
bin1111101001011…
…10011001111000
3100010222210201020
413310232121320
5232100341242
621005222440
73152465154
oct764563170
9303883636
10131262072
1168104157
1237b61a20
132126b086
141360c064
15b7cc6ec
hex7d2e678

131262072 has 32 divisors (see below), whose sum is σ = 328588800. Its totient is φ = 43696224.

The previous prime is 131262071. The next prime is 131262077. The reversal of 131262072 is 270262131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131262071) 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, 17433 + ... + 23799.

It is an arithmetic number, because the mean of its divisors is an integer number (10268400).

Almost surely, 2131262072 is an apocalyptic number.

131262072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131262072 is an abundant number, since it is smaller than the sum of its proper divisors (197326728).

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

131262072 is a wasteful number, since it uses less digits than its factorization.

131262072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 131262072 is about 11456.9660905495. The cubic root of 131262072 is about 508.2137588019.

The spelling of 131262072 in words is "one hundred thirty-one million, two hundred sixty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 859 1718 2577 3436 5154 6367 6872 10308 12734 19101 20616 25468 38202 50936 76404 152808 5469253 10938506 16407759 21877012 32815518 43754024 65631036 131262072