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114860928 = 27371319173
BaseRepresentation
bin1101101100010…
…10001110000000
322000010112120110
412312022032000
5213401022203
615221511320
72563205340
oct666121600
9260115513
10114860928
1159921796
1232572540
131aa47a60
141137cd20
15a13cd03
hex6d8a380

114860928 has 256 divisors, whose sum is σ = 397555200. Its totient is φ = 28532736.

The previous prime is 114860849. The next prime is 114860939. The reversal of 114860928 is 829068411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663850 + ... + 664022.

It is an arithmetic number, because the mean of its divisors is an integer number (1552950).

Almost surely, 2114860928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198777600).

114860928 is an abundant number, since it is smaller than the sum of its proper divisors (282694272).

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

114860928 is a wasteful number, since it uses less digits than its factorization.

114860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 114860928 is about 10717.3190677520. The cubic root of 114860928 is about 486.0983052339.

The spelling of 114860928 in words is "one hundred fourteen million, eight hundred sixty thousand, nine hundred twenty-eight".