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114271632 = 2432793553
BaseRepresentation
bin1101100111110…
…10010110010000
321222000121012200
412303322112100
5213223143012
615201123200
72555202306
oct663722620
9258017180
10114271632
1159559a72
1232329500
131a89c767
1411268276
15a0733dc
hex6cfa590

114271632 has 30 divisors (see below), whose sum is σ = 319802262. Its totient is φ = 38090496.

The previous prime is 114271627. The next prime is 114271669. The reversal of 114271632 is 236172411.

114271632 is a `hidden beast` number, since 1 + 1 + 4 + 27 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61214976 + 53056656 = 7824^2 + 7284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114271596 and 114271605.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396633 + ... + 396920.

Almost surely, 2114271632 is an apocalyptic number.

114271632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114271632 is an abundant number, since it is smaller than the sum of its proper divisors (205530630).

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

114271632 is a wasteful number, since it uses less digits than its factorization.

114271632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793567 (or 793558 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 114271632 is about 10689.7910176018. The cubic root of 114271632 is about 485.2655675286.

The spelling of 114271632 in words is "one hundred fourteen million, two hundred seventy-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 793553 1587106 2380659 3174212 4761318 6348424 7141977 9522636 12696848 14283954 19045272 28567908 38090544 57135816 114271632