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114130432 = 291321319
BaseRepresentation
bin1101100110101…
…11111000000000
321221202102112001
412303113320000
5213204133212
615154113344
72554043533
oct663277000
9257672461
10114130432
1159472979
123227b854
131a850400
141122ca1a
15a046657
hex6cd7e00

114130432 has 60 divisors (see below), whose sum is σ = 247115880. Its totient is φ = 52635648.

The previous prime is 114130427. The next prime is 114130433. The reversal of 114130432 is 234031411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114130433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85869 + ... + 87187.

It is an arithmetic number, because the mean of its divisors is an integer number (4118598).

Almost surely, 2114130432 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 114130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123557940).

114130432 is an abundant number, since it is smaller than the sum of its proper divisors (132985448).

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

114130432 is an equidigital number, since it uses as much as digits as its factorization.

114130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 114130432 is about 10683.1845439457. The cubic root of 114130432 is about 485.0656119829.

Adding to 114130432 its reverse (234031411), we get a palindrome (348161843).

The spelling of 114130432 in words is "one hundred fourteen million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1319 1352 1664 2638 2704 3328 5276 5408 6656 10552 10816 17147 21104 21632 34294 42208 43264 68588 84416 86528 137176 168832 222911 274352 337664 445822 548704 675328 891644 1097408 1783288 2194816 3566576 4389632 7133152 8779264 14266304 28532608 57065216 114130432