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116712960 = 2935713167
BaseRepresentation
bin1101111010011…
…10011000000000
322010121122002020
412331032120000
5214334303320
615325321440
72615021010
oct675163000
9263548066
10116712960
115a9771a1
1233106280
131b245a30
1411701c40
15a3a6940
hex6f4e600

116712960 has 320 divisors, whose sum is σ = 461970432. Its totient is φ = 24477696.

The previous prime is 116712931. The next prime is 116712989. The reversal of 116712960 is 69217611.

It is an interprime number because it is at equal distance from previous prime (116712931) and next prime (116712989).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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, 698797 + ... + 698963.

Almost surely, 2116712960 is an apocalyptic number.

116712960 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 116712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

116712960 is an abundant number, since it is smaller than the sum of its proper divisors (345257472).

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

116712960 is a wasteful number, since it uses less digits than its factorization.

116712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 116712960 is about 10803.3772497308. The cubic root of 116712960 is about 488.6970241921.

The spelling of 116712960 in words is "one hundred sixteen million, seven hundred twelve thousand, nine hundred sixty".