Search a number
-
+
116376960 = 2735721237
BaseRepresentation
bin1101110111111…
…00010110000000
322002222120011210
412323330112000
5214243030320
615314210120
72612121300
oct673742600
9262876153
10116376960
115a767807
1232b83940
131b158b0b
1411655600
15a33c0e0
hex6efc580

116376960 has 192 divisors, whose sum is σ = 431863920. Its totient is φ = 26578944.

The previous prime is 116376943. The next prime is 116376961. The reversal of 116376960 is 69673611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116376961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93462 + ... + 94698.

Almost surely, 2116376960 is an apocalyptic number.

116376960 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 116376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215931960).

116376960 is an abundant number, since it is smaller than the sum of its proper divisors (315486960).

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

116376960 is a wasteful number, since it uses less digits than its factorization.

116376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 116376960 is about 10787.8153488090. The cubic root of 116376960 is about 488.2276103863.

The spelling of 116376960 in words is "one hundred sixteen million, three hundred seventy-six thousand, nine hundred sixty".