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114058728 = 23327226307
BaseRepresentation
bin1101100110001…
…10010111101000
321221121210011100
412303012113220
5213144334403
615152401400
72553324510
oct663062750
9257553140
10114058728
1159424013
1232246260
131a826894
1411210840
15a0302a3
hex6cc65e8

114058728 has 48 divisors (see below), whose sum is σ = 353040480. Its totient is φ = 32588064.

The previous prime is 114058669. The next prime is 114058739. The reversal of 114058728 is 827850411.

114058728 is a `hidden beast` number, since 11 + 40 + 587 + 28 = 666.

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 = 114058692 and 114058701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112650 + ... + 113657.

It is an arithmetic number, because the mean of its divisors is an integer number (7355010).

Almost surely, 2114058728 is an apocalyptic number.

114058728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114058728 is an abundant number, since it is smaller than the sum of its proper divisors (238981752).

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

114058728 is a wasteful number, since it uses less digits than its factorization.

114058728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226326 (or 226319 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114058728 is about 10679.8280885040. The cubic root of 114058728 is about 484.9640076737.

The spelling of 114058728 in words is "one hundred fourteen million, fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 226307 452614 678921 905228 1357842 1584149 1810456 2036763 2715684 3168298 4073526 4752447 5431368 6336596 8147052 9504894 12673192 14257341 16294104 19009788 28514682 38019576 57029364 114058728