Search a number
-
+
116475840 = 26335131761
BaseRepresentation
bin1101111000101…
…00011111000000
322010011120211000
412330110133000
5214304211330
615320252000
72613012465
oct674243700
9263146730
10116475840
115a825028
1233011000
131b191b20
141167d66c
15a35b560
hex6f147c0

116475840 has 448 divisors, whose sum is σ = 476219520. Its totient is φ = 26542080.

The previous prime is 116475839. The next prime is 116475851. The reversal of 116475840 is 48574611.

It is a happy number.

116475840 is a `hidden beast` number, since 1 + 1 + 647 + 5 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116475795 and 116475804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909410 + ... + 1909470.

It is an arithmetic number, because the mean of its divisors is an integer number (1062990).

Almost surely, 2116475840 is an apocalyptic number.

116475840 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 116475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

116475840 is an abundant number, since it is smaller than the sum of its proper divisors (359743680).

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

116475840 is a wasteful number, since it uses less digits than its factorization.

116475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 116475840 is about 10792.3973240425. The cubic root of 116475840 is about 488.3658458812.

The spelling of 116475840 in words is "one hundred sixteen million, four hundred seventy-five thousand, eight hundred forty".