Search a number
-
+
117515060 = 225133591259
BaseRepresentation
bin1110000000100…
…10001100110100
322012010101100122
413000102030310
5220040440220
615354431112
72624601335
oct700221464
9265111318
10117515060
1160374893
1233432498
131b466b50
141187028c
15a4b4425
hex7012334

117515060 has 48 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 43234944.

The previous prime is 117515059. The next prime is 117515063. The reversal of 117515060 is 60515711.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117515063) 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, 92711 + ... + 93969.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2117515060 is an apocalyptic number.

117515060 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 117515060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

117515060 is an abundant number, since it is smaller than the sum of its proper divisors (149201740).

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

117515060 is a wasteful number, since it uses less digits than its factorization.

117515060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 117515060 is about 10840.4363380816. The cubic root of 117515060 is about 489.8139790905.

The spelling of 117515060 in words is "one hundred seventeen million, five hundred fifteen thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 359 718 1259 1436 1795 2518 3590 4667 5036 6295 7180 9334 12590 16367 18668 23335 25180 32734 46670 65468 81835 93340 163670 327340 451981 903962 1807924 2259905 4519810 5875753 9039620 11751506 23503012 29378765 58757530 117515060