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116460 = 22325647
BaseRepresentation
bin11100011011101100
312220202100
4130123230
512211320
62255100
7663351
oct343354
9186670
10116460
117a553
1257490
1341016
1430628
1524790
hex1c6ec

116460 has 36 divisors (see below), whose sum is σ = 353808. Its totient is φ = 31008.

The previous prime is 116447. The next prime is 116461. The reversal of 116460 is 64611.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116460.

It is not an unprimeable number, because it can be changed into a prime (116461) by changing a digit.

116460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2116460 is an apocalyptic number.

116460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116460 is an abundant number, since it is smaller than the sum of its proper divisors (237348).

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

116460 is a wasteful number, since it uses less digits than its factorization.

116460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116460 is about 341.2623624134. The cubic root of 116460 is about 48.8343706624.

It can be divided in two parts, 116 and 460, that added together give a square (576 = 242).

The spelling of 116460 in words is "one hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 647 1294 1941 2588 3235 3882 5823 6470 7764 9705 11646 12940 19410 23292 29115 38820 58230 116460