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114606864 = 24321037727
BaseRepresentation
bin1101101010011…
…00001100010000
321222122122001200
412311030030100
5213314404424
615212231200
72561066541
oct665141420
9258578050
10114606864
1159768919
123246b500
131a989218
14113144c8
15a0dc8c9
hex6d4c310

114606864 has 60 divisors (see below), whose sum is σ = 323895936. Its totient is φ = 37826496.

The previous prime is 114606859. The next prime is 114606883. The reversal of 114606864 is 468606411.

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

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 11 ways as a sum of consecutive naturals, for example, 10969 + ... + 18695.

Almost surely, 2114606864 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 114606864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161947968).

114606864 is an abundant number, since it is smaller than the sum of its proper divisors (209289072).

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

114606864 is a wasteful number, since it uses less digits than its factorization.

114606864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 114606864 is about 10705.4595417478. The cubic root of 114606864 is about 485.7396359812.

The spelling of 114606864 in words is "one hundred fourteen million, six hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 927 1236 1648 1854 2472 3708 4944 7416 7727 14832 15454 23181 30908 46362 61816 69543 92724 123632 139086 185448 278172 370896 556344 795881 1112688 1591762 2387643 3183524 4775286 6367048 7162929 9550572 12734096 14325858 19101144 28651716 38202288 57303432 114606864