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114012432 = 24323072579
BaseRepresentation
bin1101100101110…
…11000100010000
321221112102122200
412302323010100
5213141344212
615151403200
72553042522
oct662730420
9257472580
10114012432
11593a2256
1232223500
131a80b7a1
14111dba12
15a0216dc
hex6cbb110

114012432 has 60 divisors (see below), whose sum is σ = 320239920. Its totient is φ = 37865664.

The previous prime is 114012419. The next prime is 114012433. The reversal of 114012432 is 234210411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114012433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42919 + ... + 45497.

It is an arithmetic number, because the mean of its divisors is an integer number (5337332).

Almost surely, 2114012432 is an apocalyptic number.

114012432 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 114012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160119960).

114012432 is an abundant number, since it is smaller than the sum of its proper divisors (206227488).

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

114012432 is a wasteful number, since it uses less digits than its factorization.

114012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114012432 is about 10677.6604179005. The cubic root of 114012432 is about 484.8983837842.

Adding to 114012432 its reverse (234210411), we get a palindrome (348222843).

The spelling of 114012432 in words is "one hundred fourteen million, twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2579 2763 3684 4912 5158 5526 7368 7737 10316 11052 14736 15474 20632 22104 23211 30948 41264 44208 46422 61896 92844 123792 185688 371376 791753 1583506 2375259 3167012 4750518 6334024 7125777 9501036 12668048 14251554 19002072 28503108 38004144 57006216 114012432