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114418728 = 23322775737
BaseRepresentation
bin1101101000111…
…10010000101000
321222022001222200
412310132100220
5213242344403
615204220200
72556354204
oct664362050
9258261880
10114418728
115964a536
123239a660
131a9216b8
14112a5b04
15a0a1ca3
hex6d1e428

114418728 has 48 divisors (see below), whose sum is σ = 311056980. Its totient is φ = 37995264.

The previous prime is 114418723. The next prime is 114418729. The reversal of 114418728 is 827814411.

It can be written as a sum of positive squares in 2 ways, for example, as 85710564 + 28708164 = 9258^2 + 5358^2 .

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 = 114418692 and 114418701.

It is not an unprimeable number, because it can be changed into a prime (114418723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17076 + ... + 22812.

Almost surely, 2114418728 is an apocalyptic number.

114418728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114418728 is an abundant number, since it is smaller than the sum of its proper divisors (196638252).

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

114418728 is a wasteful number, since it uses less digits than its factorization.

114418728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6019 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 114418728 is about 10696.6690142306. The cubic root of 114418728 is about 485.4736973924.

The spelling of 114418728 in words is "one hundred fourteen million, four hundred eighteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 3324 4986 5737 6648 9972 11474 17211 19944 22948 34422 45896 51633 68844 103266 137688 206532 413064 1589149 3178298 4767447 6356596 9534894 12713192 14302341 19069788 28604682 38139576 57209364 114418728