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114039632 = 2477114341
BaseRepresentation
bin1101100110000…
…01101101010000
321221120210222002
412303001231100
5213143232012
615152133132
72553215030
oct663015520
9257523862
10114039632
1159410733
12322371a8
131a81ac95
14112078c0
15a0297c2
hex6cc1b50

114039632 has 40 divisors (see below), whose sum is σ = 256090752. Its totient is φ = 48182400.

The previous prime is 114039617. The next prime is 114039641. The reversal of 114039632 is 236930411.

It is a junction number, because it is equal to n+sod(n) for n = 114039595 and 114039604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782 + ... + 15122.

Almost surely, 2114039632 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 114039632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128045376).

114039632 is an abundant number, since it is smaller than the sum of its proper divisors (142051120).

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

114039632 is a wasteful number, since it uses less digits than its factorization.

114039632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14427 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 114039632 is about 10678.9340291997. The cubic root of 114039632 is about 484.9369415306.

The spelling of 114039632 in words is "one hundred fourteen million, thirty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 14341 28682 57364 100387 114728 200774 229456 401548 803096 1018211 1606192 2036422 4072844 7127477 8145688 14254954 16291376 28509908 57019816 114039632