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114012032 = 271018819
BaseRepresentation
bin1101100101110…
…10111110000000
321221112102002212
412302322332000
5213141341112
615151401252
72553041411
oct662727600
9257472085
10114012032
11593a1a22
1232223228
131a80b554
14111db808
15a021522
hex6cbaf80

114012032 has 32 divisors (see below), whose sum is σ = 229408200. Its totient is φ = 56435200.

The previous prime is 114012029. The next prime is 114012043. The reversal of 114012032 is 230210411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 114011998 and 114012016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8519 + ... + 17337.

Almost surely, 2114012032 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 114012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114704100).

114012032 is an abundant number, since it is smaller than the sum of its proper divisors (115396168).

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

114012032 is an equidigital number, since it uses as much as digits as its factorization.

114012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 114012032 is about 10677.6416871892. The cubic root of 114012032 is about 484.8978167128.

Adding to 114012032 its reverse (230210411), we get a palindrome (344222443).

The spelling of 114012032 in words is "one hundred fourteen million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 8819 12928 17638 35276 70552 141104 282208 564416 890719 1128832 1781438 3562876 7125752 14251504 28503008 57006016 114012032