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116727048 = 23332512153
BaseRepresentation
bin1101111010100…
…01110100001000
322010122100102000
412331101310020
5214340231143
615325511000
72615110044
oct675216410
9263570360
10116727048
115a986839
1233112460
131b24c279
1411707024
15a3aabd3
hex6f51d08

116727048 has 64 divisors (see below), whose sum is σ = 325684800. Its totient is φ = 38736000.

The previous prime is 116727043. The next prime is 116727101. The reversal of 116727048 is 840727611.

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

It is not an unprimeable number, because it can be changed into a prime (116727043) 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, 53140 + ... + 55292.

It is an arithmetic number, because the mean of its divisors is an integer number (5088825).

Almost surely, 2116727048 is an apocalyptic number.

116727048 is a gapful number since it is divisible by the number (18) 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 116727048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162842400).

116727048 is an abundant number, since it is smaller than the sum of its proper divisors (208957752).

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

116727048 is a wasteful number, since it uses less digits than its factorization.

116727048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 116727048 is about 10804.0292483869. The cubic root of 116727048 is about 488.7166863521.

The spelling of 116727048 in words is "one hundred sixteen million, seven hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 502 753 1004 1506 2008 2153 2259 3012 4306 4518 6024 6459 6777 8612 9036 12918 13554 17224 18072 19377 25836 27108 38754 51672 54216 58131 77508 116262 155016 232524 465048 540403 1080806 1621209 2161612 3242418 4323224 4863627 6484836 9727254 12969672 14590881 19454508 29181762 38909016 58363524 116727048