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114435132 = 22378915307
BaseRepresentation
bin1101101001000…
…10010000111100
321222022220111020
412310202100330
5213243411012
615204424140
72556453060
oct664422074
9258286436
10114435132
1159660899
12323a8050
131a928cc6
14112abaa0
15a0a6a8c
hex6d2243c

114435132 has 48 divisors (see below), whose sum is σ = 308609280. Its totient is φ = 32326272.

The previous prime is 114435091. The next prime is 114435137. The reversal of 114435132 is 231534411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114435137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178 + ... + 15129.

It is an arithmetic number, because the mean of its divisors is an integer number (6429360).

Almost surely, 2114435132 is an apocalyptic number.

114435132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114435132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154304640).

114435132 is an abundant number, since it is smaller than the sum of its proper divisors (194174148).

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

114435132 is a wasteful number, since it uses less digits than its factorization.

114435132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15410 (or 15408 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 114435132 is about 10697.4357675099. The cubic root of 114435132 is about 485.4968967705.

Adding to 114435132 its reverse (231534411), we get a palindrome (345969543).

The spelling of 114435132 in words is "one hundred fourteen million, four hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 15307 30614 45921 61228 91842 107149 183684 214298 321447 428596 642894 1285788 1362323 2724646 4086969 5449292 8173938 9536261 16347876 19072522 28608783 38145044 57217566 114435132