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116975040 = 26357132103
BaseRepresentation
bin1101111100011…
…10010111000000
322011002221120220
412332032113000
5214421200130
615335103040
72620162050
oct676162700
9264087526
10116975040
1160036096
1233211a80
131b308100
141176d560
15a409410
hex6f8e5c0

116975040 has 336 divisors, whose sum is σ = 464076288. Its totient is φ = 24440832.

The previous prime is 116975021. The next prime is 116975041. The reversal of 116975040 is 40579611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 116974992 and 116975010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116975041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135629 + ... + 1135731.

Almost surely, 2116975040 is an apocalyptic number.

116975040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10815×10816.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

116975040 is an abundant number, since it is smaller than the sum of its proper divisors (347101248).

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

116975040 is a wasteful number, since it uses less digits than its factorization.

116975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 116975040 is about 10815.4999884425. The cubic root of 116975040 is about 489.0625419231.

The spelling of 116975040 in words is "one hundred sixteen million, nine hundred seventy-five thousand, forty".