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116366640 = 243513219151
BaseRepresentation
bin1101110111110…
…01110100110000
322002222001000120
412323321310300
5214242213030
615314050240
72612046225
oct673716460
9262861016
10116366640
115a75aa85
1232b79980
131b154200
141165194c
15a339010
hex6ef9d30

116366640 has 240 divisors, whose sum is σ = 413902080. Its totient is φ = 26956800.

The previous prime is 116366639. The next prime is 116366681. The reversal of 116366640 is 46663611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770565 + ... + 770715.

It is an arithmetic number, because the mean of its divisors is an integer number (1724592).

Almost surely, 2116366640 is an apocalyptic number.

116366640 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 116366640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206951040).

116366640 is an abundant number, since it is smaller than the sum of its proper divisors (297535440).

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

116366640 is a wasteful number, since it uses less digits than its factorization.

116366640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 116366640 is about 10787.3370207851. The cubic root of 116366640 is about 488.2131783834.

The spelling of 116366640 in words is "one hundred sixteen million, three hundred sixty-six thousand, six hundred forty".