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116760040 = 23510128901
BaseRepresentation
bin1101111010110…
…01110111101000
322010201000122221
412331121313220
5214342310130
615330323424
72615305165
oct675316750
9263630587
10116760040
115a9a9601
1233129574
131b2612a7
141171506c
15a3b587a
hex6f59de8

116760040 has 32 divisors (see below), whose sum is σ = 265320360. Its totient is φ = 46240000.

The previous prime is 116760013. The next prime is 116760047. The reversal of 116760040 is 40067611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 111386916 + 5373124 = 10554^2 + 2318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116759987 and 116760014.

It is not an unprimeable number, because it can be changed into a prime (116760047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10411 + ... + 18490.

Almost surely, 2116760040 is an apocalyptic number.

116760040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116760040 is an abundant number, since it is smaller than the sum of its proper divisors (148560320).

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

116760040 is a wasteful number, since it uses less digits than its factorization.

116760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29013 (or 29009 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 116760040 is about 10805.5559782919. Note that the first 3 decimals coincide. The cubic root of 116760040 is about 488.7627260157.

The spelling of 116760040 in words is "one hundred sixteen million, seven hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 28901 57802 115604 144505 231208 289010 578020 1156040 2919001 5838002 11676004 14595005 23352008 29190010 58380020 116760040