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114689232 = 24327113779
BaseRepresentation
bin1101101011000…
…00010011010000
321222210211001100
412311200103100
5213330023412
615214104400
72561561640
oct665402320
9258724040
10114689232
1159814799
12324ab100
131a9b7868
1411336520
15a106edc
hex6d604d0

114689232 has 60 divisors (see below), whose sum is σ = 366826720. Its totient is φ = 32768064.

The previous prime is 114689207. The next prime is 114689251. The reversal of 114689232 is 232986411.

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

It is a nude number because it is divisible by every one of its digits.

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, 55882 + ... + 57897.

Almost surely, 2114689232 is an apocalyptic number.

114689232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114689232 is an abundant number, since it is smaller than the sum of its proper divisors (252137488).

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

114689232 is a wasteful number, since it uses less digits than its factorization.

114689232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113800 (or 113791 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 114689232 is about 10709.3058598585. The cubic root of 114689232 is about 485.8559752063.

It can be divided in two parts, 114689 and 232, that added together give a square (114921 = 3392).

The spelling of 114689232 in words is "one hundred fourteen million, six hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 113779 227558 341337 455116 682674 796453 910232 1024011 1365348 1592906 1820464 2048022 2389359 2730696 3185812 4096044 4778718 5461392 6371624 7168077 8192088 9557436 12743248 14336154 16384176 19114872 28672308 38229744 57344616 114689232