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118008 = 233211149
BaseRepresentation
bin11100110011111000
312222212200
4130303320
512234013
62310200
71001022
oct346370
9188780
10118008
1180730
1258360
1341937
1431012
1524e73
hex1ccf8

118008 has 48 divisors (see below), whose sum is σ = 351000. Its totient is φ = 35520.

The previous prime is 117991. The next prime is 118033. The reversal of 118008 is 800811.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 718 + ... + 866.

2118008 is an apocalyptic number.

118008 is a gapful number since it is divisible by the number (18) 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 118008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175500).

118008 is an abundant number, since it is smaller than the sum of its proper divisors (232992).

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

118008 is a wasteful number, since it uses less digits than its factorization.

118008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 118008 is about 343.5229249992. The cubic root of 118008 is about 49.0497897350.

118008 divided by its sum of digits (18) gives a palindrome (6556).

Adding to 118008 its reverse (800811), we get a palindrome (918819).

It can be divided in two parts, 11 and 8008, that multiplied together give a palindrome (88088).

The spelling of 118008 in words is "one hundred eighteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 149 198 264 298 396 447 596 792 894 1192 1341 1639 1788 2682 3278 3576 4917 5364 6556 9834 10728 13112 14751 19668 29502 39336 59004 118008