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131897800 = 23522922741
BaseRepresentation
bin1111101110010…
…01100111001000
3100012012002202201
413313021213020
5232231212200
621031005544
73161053456
oct767114710
9305162681
10131897800
11684a8851
12382098b4
1321431548
14137359d6
15b8a5c6a
hex7dc99c8

131897800 has 48 divisors (see below), whose sum is σ = 317250900. Its totient is φ = 50937600.

The previous prime is 131897789. The next prime is 131897803. The reversal of 131897800 is 8798131.

It can be written as a sum of positive squares in 6 ways, for example, as 20848356 + 111049444 = 4566^2 + 10538^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131897800.

It is not an unprimeable number, because it can be changed into a prime (131897803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5571 + ... + 17170.

Almost surely, 2131897800 is an apocalyptic number.

131897800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131897800 is an abundant number, since it is smaller than the sum of its proper divisors (185353100).

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

131897800 is a wasteful number, since it uses less digits than its factorization.

131897800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22786 (or 22777 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 131897800 is about 11484.6767477365. The cubic root of 131897800 is about 509.0328974946.

The spelling of 131897800 in words is "one hundred thirty-one million, eight hundred ninety-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 22741 45482 90964 113705 181928 227410 454820 568525 659489 909640 1137050 1318978 2274100 2637956 3297445 4548200 5275912 6594890 13189780 16487225 26379560 32974450 65948900 131897800