Search a number
-
+
118518016 = 2817113241
BaseRepresentation
bin1110001000001…
…11000100000000
322021000100011011
413010013010000
5220320034031
615432130304
72636246401
oct704070400
9267010134
10118518016
116099a381
1233836994
131b728506
1411a519a8
15a6116b1
hex7107100

118518016 has 72 divisors (see below), whose sum is σ = 253754424. Its totient is φ = 55050240.

The previous prime is 118517977. The next prime is 118518031. The reversal of 118518016 is 610815811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 104857600 = 3696^2 + 10240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491656 + ... + 491896.

It is an arithmetic number, because the mean of its divisors is an integer number (3524367).

Almost surely, 2118518016 is an apocalyptic number.

118518016 is a gapful number since it is divisible by the number (16) 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 118518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877212).

118518016 is an abundant number, since it is smaller than the sum of its proper divisors (135236408).

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

118518016 is a wasteful number, since it uses less digits than its factorization.

118518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 31.

The square root of 118518016 is about 10886.5979993752. The cubic root of 118518016 is about 491.2035055825.

The spelling of 118518016 in words is "one hundred eighteen million, five hundred eighteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 241 256 272 452 482 544 904 964 1088 1808 1921 1928 2176 3616 3842 3856 4097 4352 7232 7684 7712 8194 14464 15368 15424 16388 27233 28928 30736 30848 32776 54466 61472 61696 65552 108932 122944 131104 217864 245888 262208 435728 462961 491776 524416 871456 925922 1048832 1742912 1851844 3485824 3703688 6971648 7407376 14814752 29629504 59259008 118518016