Search a number
-
+
118014516 = 22331033
BaseRepresentation
bin1110000100011…
…00001000110100
322020001202111000
413002030020310
5220202431031
615413243300
72632051434
oct702141064
9266052430
10118014516
1160686064
1233633530
131b5b0299
14119602c4
15a5623e6
hex708c234

118014516 has 48 divisors (see below), whose sum is σ = 308963200. Its totient is φ = 38956248.

The previous prime is 118014511. The next prime is 118014539. The reversal of 118014516 is 615410811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 118014516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118014511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145721 + ... + 1145823.

Almost surely, 2118014516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118014516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154481600).

118014516 is an abundant number, since it is smaller than the sum of its proper divisors (190948684).

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

118014516 is an frugal number, since it uses more digits than its factorization.

118014516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 118014516 is about 10863.4486237106. The cubic root of 118014516 is about 490.5069250582.

The spelling of 118014516 in words is "one hundred eighteen million, fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 10609 11124 21218 31827 42436 63654 95481 127308 190962 286443 381924 572886 1092727 1145772 2185454 3278181 4370908 6556362 9834543 13112724 19669086 29503629 39338172 59007258 118014516