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114688056 = 23371096263
BaseRepresentation
bin1101101011000…
…00000000111000
321222210202102210
412311200000320
5213330004211
615214055120
72561555340
oct665400070
9258722383
10114688056
115981391a
12324aa4a0
131a9b7172
1411335d20
15a1069a6
hex6d60038

114688056 has 64 divisors (see below), whose sum is σ = 330739200. Its totient is φ = 32462208.

The previous prime is 114688033. The next prime is 114688061. The reversal of 114688056 is 650886411.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 15181 + ... + 21443.

It is an arithmetic number, because the mean of its divisors is an integer number (5167800).

Almost surely, 2114688056 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 114688056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165369600).

114688056 is an abundant number, since it is smaller than the sum of its proper divisors (216051144).

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

114688056 is a wasteful number, since it uses less digits than its factorization.

114688056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 114688056 is about 10709.2509541984. The cubic root of 114688056 is about 485.8543145779.

The spelling of 114688056 in words is "one hundred fourteen million, six hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 109 168 218 327 436 654 763 872 1308 1526 2289 2616 3052 4578 6104 6263 9156 12526 18312 18789 25052 37578 43841 50104 75156 87682 131523 150312 175364 263046 350728 526092 682667 1052184 1365334 2048001 2730668 4096002 4778669 5461336 8192004 9557338 14336007 16384008 19114676 28672014 38229352 57344028 114688056