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116492040 = 23335719811
BaseRepresentation
bin1101111000110…
…00011100001000
322010012102001000
412330120130020
5214310221130
615320455000
72613110640
oct674303410
9263172030
10116492040
115a836215
123301a460
131b199302
1411685520
15a361260
hex6f18708

116492040 has 256 divisors, whose sum is σ = 467712000. Its totient is φ = 25194240.

The previous prime is 116492023. The next prime is 116492063. The reversal of 116492040 is 40294611.

116492040 is a `hidden beast` number, since 11 + 649 + 2 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116491995 and 116492013.

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, 143235 + ... + 144045.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 2116492040 is an apocalyptic number.

116492040 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 116492040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233856000).

116492040 is an abundant number, since it is smaller than the sum of its proper divisors (351219960).

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

116492040 is a wasteful number, since it uses less digits than its factorization.

116492040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116492040 is about 10793.1478262831. The cubic root of 116492040 is about 488.3884862271.

It can be divided in two parts, 11649 and 2040, that added together give a square (13689 = 1172).

The spelling of 116492040 in words is "one hundred sixteen million, four hundred ninety-two thousand, forty".