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114808716 = 2232111915259
BaseRepresentation
bin1101101011111…
…01011110001100
322000000212221200
412311331132030
5213342334331
615220425500
72562600201
oct665753614
9260025850
10114808716
1159896540
1232548290
131aa2a069
1411367ca8
15a12c5e6
hex6d7d78c

114808716 has 72 divisors (see below), whose sum is σ = 333278400. Its totient is φ = 32957280.

The previous prime is 114808703. The next prime is 114808723. The reversal of 114808716 is 617808411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106 + ... + 15153.

Almost surely, 2114808716 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 114808716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166639200).

114808716 is an abundant number, since it is smaller than the sum of its proper divisors (218469684).

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

114808716 is a wasteful number, since it uses less digits than its factorization.

114808716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15299 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 114808716 is about 10714.8829204989. The cubic root of 114808716 is about 486.0246393036.

The spelling of 114808716 in words is "one hundred fourteen million, eight hundred eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 15259 30518 45777 61036 91554 137331 167849 183108 274662 289921 335698 503547 549324 579842 671396 869763 1007094 1159684 1510641 1739526 2014188 2609289 3021282 3189131 3479052 5218578 6042564 6378262 9567393 10437156 12756524 19134786 28702179 38269572 57404358 114808716