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114791256 = 23315
BaseRepresentation
bin1101101011110…
…01001101011000
322000000000000000
412311321031120
5213341310011
615220213000
72562465246
oct665711530
9260000000
10114791256
1159884408
123253a160
131aa22128
1411361796
15a127356
hex6d79358

114791256 has 64 divisors (see below), whose sum is σ = 322850400. Its totient is φ = 38263752.

The previous prime is 114791231. The next prime is 114791263. The reversal of 114791256 is 652197411.

The cubic root of 114791256 is 486.

It is a perfect power (a cube), and thus also a powerful number.

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

Its product of digits (15120) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 114791256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38263751 + 38263752 + 38263753.

Almost surely, 2114791256 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 114791256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161425200).

114791256 is an abundant number, since it is smaller than the sum of its proper divisors (208059144).

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

114791256 is an frugal number, since it uses more digits than its factorization.

114791256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 5 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 114791256 is about 10714.0681349336.

The spelling of 114791256 in words is "one hundred fourteen million, seven hundred ninety-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 59049 78732 118098 157464 177147 236196 354294 472392 531441 708588 1062882 1417176 1594323 2125764 3188646 4251528 4782969 6377292 9565938 12754584 14348907 19131876 28697814 38263752 57395628 114791256