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114014432 = 257598627
BaseRepresentation
bin1101100101110…
…11100011100000
321221112112101202
412302323203200
5213141430212
615151420332
72553051410
oct662734340
9257475352
10114014432
11593a3804
12322246a8
131a80c67c
14111dc640
15a0220c2
hex6cbb8e0

114014432 has 48 divisors (see below), whose sum is σ = 260910720. Its totient is φ = 48029568.

The previous prime is 114014431. The next prime is 114014437. The reversal of 114014432 is 234410411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114014431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8903 + ... + 17529.

It is an arithmetic number, because the mean of its divisors is an integer number (5435640).

Almost surely, 2114014432 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 114014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130455360).

114014432 is an abundant number, since it is smaller than the sum of its proper divisors (146896288).

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

114014432 is an equidigital number, since it uses as much as digits as its factorization.

114014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8703 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114014432 is about 10677.7540709645. The cubic root of 114014432 is about 484.9012191215.

Adding to 114014432 its reverse (234410411), we get a palindrome (348424843).

The spelling of 114014432 in words is "one hundred fourteen million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 8627 13216 17254 34508 60389 69016 120778 138032 241556 276064 483112 508993 966224 1017986 1932448 2035972 3562951 4071944 7125902 8143888 14251804 16287776 28503608 57007216 114014432