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116947460 = 22577311443
BaseRepresentation
bin1101111100001…
…11101000000100
322011001112202102
412332013220010
5214414304320
615334331232
72620015460
oct676075004
9264045672
10116947460
11600173a3
12331b9b18
131b2c86a6
14117634a0
15a401175
hex6f87a04

116947460 has 48 divisors (see below), whose sum is σ = 284543616. Its totient is φ = 39543552.

The previous prime is 116947427. The next prime is 116947463. The reversal of 116947460 is 64749611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116947463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4499 + ... + 15941.

It is an arithmetic number, because the mean of its divisors is an integer number (5927992).

Almost surely, 2116947460 is an apocalyptic number.

116947460 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 116947460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142271808).

116947460 is an abundant number, since it is smaller than the sum of its proper divisors (167596156).

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

116947460 is a wasteful number, since it uses less digits than its factorization.

116947460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11532 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 116947460 is about 10814.2248913179. The cubic root of 116947460 is about 489.0241023691.

The spelling of 116947460 in words is "one hundred sixteen million, nine hundred forty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 10220 11443 22886 45772 57215 80101 114430 160202 228860 320404 400505 801010 835339 1602020 1670678 3341356 4176695 5847373 8353390 11694746 16706780 23389492 29236865 58473730 116947460