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116786880 = 2633571931
BaseRepresentation
bin1101111011000…
…00011011000000
322010202101111000
412331200123000
5214344140010
615331052000
72615446350
oct675403300
9263671430
10116786880
115aa17791
1233141000
131b270582
1411720b60
15a3bd7c0
hex6f606c0

116786880 has 224 divisors, whose sum is σ = 471098880. Its totient is φ = 26680320.

The previous prime is 116786797. The next prime is 116786897. The reversal of 116786880 is 88687611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59515 + ... + 61445.

It is an arithmetic number, because the mean of its divisors is an integer number (2103120).

Almost surely, 2116786880 is an apocalyptic number.

116786880 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 116786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235549440).

116786880 is an abundant number, since it is smaller than the sum of its proper divisors (354312000).

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

116786880 is a wasteful number, since it uses less digits than its factorization.

116786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 116786880 is about 10806.7978606061. The cubic root of 116786880 is about 488.8001742914.

The spelling of 116786880 in words is "one hundred sixteen million, seven hundred eighty-six thousand, eight hundred eighty".