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131139090 = 23256132377
BaseRepresentation
bin1111101000100…
…00011000010010
3100010202120000100
413310100120102
5232032422330
621002433230
73151443465
oct764203022
9303676010
10131139090
116802a815
1237b02816
13212270c4
14135b92dc
15b7a6060
hex7d10612

131139090 has 48 divisors (see below), whose sum is σ = 341661528. Its totient is φ = 34898688.

The previous prime is 131139089. The next prime is 131139091. The reversal of 131139090 is 90931131.

It is an interprime number because it is at equal distance from previous prime (131139089) and next prime (131139091).

It can be written as a sum of positive squares in 4 ways, for example, as 53187849 + 77951241 = 7293^2 + 8829^2 .

It is not an unprimeable number, because it can be changed into a prime (131139091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53982 + ... + 56358.

Almost surely, 2131139090 is an apocalyptic number.

131139090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131139090 is an abundant number, since it is smaller than the sum of its proper divisors (210522438).

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

131139090 is a wasteful number, since it uses less digits than its factorization.

131139090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 131139090 is about 11451.5977051239. The cubic root of 131139090 is about 508.0549907404.

It can be divided in two parts, 1311 and 39090, that added together give a square (40401 = 2012).

The spelling of 131139090 in words is "one hundred thirty-one million, one hundred thirty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 613 1226 1839 2377 3065 3678 4754 5517 6130 7131 9195 11034 11885 14262 18390 21393 23770 27585 35655 42786 55170 71310 106965 213930 1457101 2914202 4371303 7285505 8742606 13113909 14571010 21856515 26227818 43713030 65569545 131139090