Search a number
-
+
116553360 = 243572111753
BaseRepresentation
bin1101111001001…
…11011010010000
322010022112011010
412330213122100
5214314201420
615322050520
72613454500
oct674473220
9263275133
10116553360
115a8782a0
1233049a40
131b1bb1b1
141169da00
15a3744e0
hex6f27690

116553360 has 480 divisors, whose sum is σ = 494646912. Its totient is φ = 22364160.

The previous prime is 116553337. The next prime is 116553389. The reversal of 116553360 is 63355611.

116553360 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199094 + ... + 2199146.

Almost surely, 2116553360 is an apocalyptic number.

116553360 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 116553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247323456).

116553360 is an abundant number, since it is smaller than the sum of its proper divisors (378093552).

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

116553360 is a wasteful number, since it uses less digits than its factorization.

116553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 116553360 is about 10795.9881437504. The cubic root of 116553360 is about 488.4741651249.

The spelling of 116553360 in words is "one hundred sixteen million, five hundred fifty-three thousand, three hundred sixty".