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116700 = 22352389
BaseRepresentation
bin11100011111011100
312221002020
4130133130
512213300
62300140
7664143
oct343734
9187066
10116700
117a751
1257650
134116c
143075a
15248a0
hex1c7dc

116700 has 36 divisors (see below), whose sum is σ = 338520. Its totient is φ = 31040.

The previous prime is 116689. The next prime is 116707. The reversal of 116700 is 7611.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 116700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116707) 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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 494.

2116700 is an apocalyptic number.

116700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260).

116700 is an abundant number, since it is smaller than the sum of its proper divisors (221820).

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

116700 is a wasteful number, since it uses less digits than its factorization.

116700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 116700 is about 341.6138170508. The cubic root of 116700 is about 48.8678934947.

The spelling of 116700 in words is "one hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 389 778 1167 1556 1945 2334 3890 4668 5835 7780 9725 11670 19450 23340 29175 38900 58350 116700