Search a number
-
+
116460960 = 253571123137
BaseRepresentation
bin1101111000100…
…00110110100000
322010010211101220
412330100312200
5214303222320
615320055040
72612621220
oct674206640
9263124356
10116460960
115a814930
1233004480
131b188115
1411678080
15a356e40
hex6f10da0

116460960 has 384 divisors, whose sum is σ = 480743424. Its totient is φ = 22978560.

The previous prime is 116460919. The next prime is 116460961. The reversal of 116460960 is 69064611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (116460961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850012 + ... + 850148.

It is an arithmetic number, because the mean of its divisors is an integer number (1251936).

Almost surely, 2116460960 is an apocalyptic number.

116460960 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 116460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371712).

116460960 is an abundant number, since it is smaller than the sum of its proper divisors (364282464).

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

116460960 is a wasteful number, since it uses less digits than its factorization.

116460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 116460960 is about 10791.7079278490. The cubic root of 116460960 is about 488.3450484544.

The spelling of 116460960 in words is "one hundred sixteen million, four hundred sixty thousand, nine hundred sixty".