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114856260 = 223512715073
BaseRepresentation
bin1101101100010…
…01000101000100
322000010022011120
412312021011010
5213400400020
615221433540
72563155621
oct666110504
9260108146
10114856260
1159919232
123256b8b0
131aa458ac
141137b348
15a13b740
hex6d89144

114856260 has 48 divisors (see below), whose sum is σ = 324151296. Its totient is φ = 30385152.

The previous prime is 114856237. The next prime is 114856307. The reversal of 114856260 is 62658411.

It is a super-2 number, since 2×1148562602 = 26383920922375200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 84 + ... + 15156.

It is an arithmetic number, because the mean of its divisors is an integer number (6753152).

Almost surely, 2114856260 is an apocalyptic number.

114856260 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 114856260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162075648).

114856260 is an abundant number, since it is smaller than the sum of its proper divisors (209295036).

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

114856260 is a wasteful number, since it uses less digits than its factorization.

114856260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15212 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 114856260 is about 10717.1012871952. The cubic root of 114856260 is about 486.0917200598.

The spelling of 114856260 in words is "one hundred fourteen million, eight hundred fifty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 15073 30146 45219 60292 75365 90438 150730 180876 226095 301460 452190 904380 1914271 3828542 5742813 7657084 9571355 11485626 19142710 22971252 28714065 38285420 57428130 114856260