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131797520 = 2451647469
BaseRepresentation
bin1111101101100…
…01001000010000
3100012000000012122
413312301020100
5232220010040
621024513412
73160155221
oct766611020
9305000178
10131797520
116843a478
123817b868
13213c79ca
141370b248
15b8861b5
hex7db1210

131797520 has 20 divisors (see below), whose sum is σ = 306429420. Its totient is φ = 52718976.

The previous prime is 131797511. The next prime is 131797529. The reversal of 131797520 is 25797131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131797511) and next prime (131797529).

It can be written as a sum of positive squares in 2 ways, for example, as 27920656 + 103876864 = 5284^2 + 10192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131797529) 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, 823655 + ... + 823814.

It is an arithmetic number, because the mean of its divisors is an integer number (15321471).

Almost surely, 2131797520 is an apocalyptic number.

131797520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131797520 is an abundant number, since it is smaller than the sum of its proper divisors (174631900).

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

131797520 is a wasteful number, since it uses less digits than its factorization.

131797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647482 (or 1647476 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 131797520 is about 11480.3101003414. The cubic root of 131797520 is about 508.9038613244.

The spelling of 131797520 in words is "one hundred thirty-one million, seven hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1647469 3294938 6589876 8237345 13179752 16474690 26359504 32949380 65898760 131797520