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131027680 = 2557116989
BaseRepresentation
bin1111100111101…
…01001011100000
3100010112220012001
413303311023200
5232020341210
621000213344
73150500620
oct763651340
9303486161
10131027680
1167a64043
1237a6a254
13211b8494
141358a880
15b78303a
hex7cf52e0

131027680 has 48 divisors (see below), whose sum is σ = 353777760. Its totient is φ = 44923392.

The previous prime is 131027671. The next prime is 131027707. The reversal of 131027680 is 86720131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57375 + ... + 59614.

It is an arithmetic number, because the mean of its divisors is an integer number (7370370).

Almost surely, 2131027680 is an apocalyptic number.

131027680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131027680 is an abundant number, since it is smaller than the sum of its proper divisors (222750080).

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

131027680 is a wasteful number, since it uses less digits than its factorization.

131027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117011 (or 117003 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 131027680 is about 11446.7322848051. The cubic root of 131027680 is about 507.9110762573.

The spelling of 131027680 in words is "one hundred thirty-one million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 116989 233978 467956 584945 818923 935912 1169890 1637846 1871824 2339780 3275692 3743648 4094615 4679560 6551384 8189230 9359120 13102768 16378460 18718240 26205536 32756920 65513840 131027680