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116382000 = 24353717163
BaseRepresentation
bin1101110111111…
…01100100110000
322002222211002110
412323331210300
5214243211000
615314245320
72612142060
oct673754460
9262884073
10116382000
115a770579
1232b86840
131b15b1b7
14116573a0
15a33d850
hex6efd930

116382000 has 320 divisors, whose sum is σ = 456827904. Its totient is φ = 24883200.

The previous prime is 116381989. The next prime is 116382023. The reversal of 116382000 is 283611.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713919 + ... + 714081.

Almost surely, 2116382000 is an apocalyptic number.

116382000 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 116382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228413952).

116382000 is an abundant number, since it is smaller than the sum of its proper divisors (340445904).

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

116382000 is a wasteful number, since it uses less digits than its factorization.

116382000 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 288, while the sum is 21.

The square root of 116382000 is about 10788.0489431593. The cubic root of 116382000 is about 488.2346582637.

The spelling of 116382000 in words is "one hundred sixteen million, three hundred eighty-two thousand".