Search a number
-
+
114602432 = 267298821
BaseRepresentation
bin1101101010010…
…11000111000000
321222122101222112
412311023013000
5213314234212
615212154452
72561050610
oct665130700
9258571875
10114602432
115976555a
1232468a28
131a9871b9
1411312a40
15a0db422
hex6d4b1c0

114602432 has 56 divisors (see below), whose sum is σ = 268894560. Its totient is φ = 47416320.

The previous prime is 114602419. The next prime is 114602437. The reversal of 114602432 is 234206411.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 114602398 and 114602407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114602437) 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, 8582 + ... + 17402.

Almost surely, 2114602432 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 114602432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447280).

114602432 is an abundant number, since it is smaller than the sum of its proper divisors (154292128).

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

114602432 is an equidigital number, since it uses as much as digits as its factorization.

114602432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 114602432 is about 10705.2525425606. The cubic root of 114602432 is about 485.7333745011.

Adding to 114602432 its reverse (234206411), we get a palindrome (348808843).

The spelling of 114602432 in words is "one hundred fourteen million, six hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1856 3248 6496 8821 12992 17642 35284 61747 70568 123494 141136 246988 255809 282272 493976 511618 564544 987952 1023236 1790663 1975904 2046472 3581326 3951808 4092944 7162652 8185888 14325304 16371776 28650608 57301216 114602432