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118864 = 24171923
BaseRepresentation
bin11101000001010000
320001001101
4131001100
512300424
62314144
71003354
oct350120
9201041
10118864
1181339
1258954
1342145
1431464
1525344
hex1d050

118864 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 50688.

The previous prime is 118861. The next prime is 118873. The reversal of 118864 is 468811.

118864 = T45 + T46 + ... + T92.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5157 + ... + 5179.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2118864 is an apocalyptic number.

118864 is the 282-nd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

118864 is an abundant number, since it is smaller than the sum of its proper divisors (148976).

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

118864 is a wasteful number, since it uses less digits than its factorization.

118864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 61 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 118864 is about 344.7665877083. The cubic root of 118864 is about 49.1681023552.

The spelling of 118864 in words is "one hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 23 34 38 46 68 76 92 136 152 184 272 304 323 368 391 437 646 782 874 1292 1564 1748 2584 3128 3496 5168 6256 6992 7429 14858 29716 59432 118864