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114316596 = 2234477507
BaseRepresentation
bin1101101000001…
…01010100110100
321222002212220000
412310011110310
5213231112341
615202111300
72555450352
oct664052464
9258085800
10114316596
115958a829
123234b530
131a8b7074
141127a7d2
15a0818b6
hex6d05534

114316596 has 60 divisors (see below), whose sum is σ = 305245248. Its totient is φ = 37289808.

The previous prime is 114316591. The next prime is 114316607. The reversal of 114316596 is 695613411.

114316596 is a `hidden beast` number, since 11 + 43 + 16 + 596 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114316596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114316591) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11475 + ... + 18981.

Almost surely, 2114316596 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 114316596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152622624).

114316596 is an abundant number, since it is smaller than the sum of its proper divisors (190928652).

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

114316596 is a wasteful number, since it uses less digits than its factorization.

114316596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7559 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 114316596 is about 10691.8939388679. The cubic root of 114316596 is about 485.3292071779.

The spelling of 114316596 in words is "one hundred fourteen million, three hundred sixteen thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7507 7614 15014 15228 22521 30028 45042 67563 90084 135126 202689 270252 352829 405378 608067 705658 810756 1058487 1216134 1411316 2116974 2432268 3175461 4233948 6350922 9526383 12701844 19052766 28579149 38105532 57158298 114316596