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116886000 = 24353711223
BaseRepresentation
bin1101111011110…
…00100111110000
322010221102110010
412331320213300
5214410323000
615333134520
72616341340
oct675704760
9263842403
10116886000
115aa85200
123318a440
131b2a671a
1411748d20
15a3dcd50
hex6f789f0

116886000 has 480 divisors, whose sum is σ = 493968384. Its totient is φ = 23232000.

The previous prime is 116885983. The next prime is 116886001. The reversal of 116886000 is 688611.

116886000 = T154 + T155 + ... + T889.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116886001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5081989 + ... + 5082011.

Almost surely, 2116886000 is an apocalyptic number.

116886000 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 116886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246984192).

116886000 is an abundant number, since it is smaller than the sum of its proper divisors (377082384).

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

116886000 is a wasteful number, since it uses less digits than its factorization.

116886000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 116886000 is about 10811.3828902689. The cubic root of 116886000 is about 488.9384209074.

The spelling of 116886000 in words is "one hundred sixteen million, eight hundred eighty-six thousand".