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118980 = 22325661
BaseRepresentation
bin11101000011000100
320001012200
4131003010
512301410
62314500
71003611
oct350304
9201180
10118980
1181434
1258a30
1342204
1431508
15253c0
hex1d0c4

118980 has 36 divisors (see below), whose sum is σ = 361452. Its totient is φ = 31680.

The previous prime is 118973. The next prime is 119027. The reversal of 118980 is 89811.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 49284 = 264^2 + 222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an unprimeable number.

118980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151 + ... + 510.

2118980 is an apocalyptic number.

118980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

118980 is an abundant number, since it is smaller than the sum of its proper divisors (242472).

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

118980 is a wasteful number, since it uses less digits than its factorization.

118980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 118980 is about 344.9347764433. The cubic root of 118980 is about 49.1840916245.

It can be divided in two parts, 1 and 18980, that added together give a palindrome (18981).

The spelling of 118980 in words is "one hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 661 1322 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 19830 23796 29745 39660 59490 118980