Search a number
-
+
116242432 = 211211269
BaseRepresentation
bin1101110110110…
…11100000000000
322002201201122021
412323123200000
5214224224212
615311251224
72611021135
oct673334000
9262651567
10116242432
115a685729
1232b19b14
131b10c807
141161c58c
15a312307
hex6edb800

116242432 has 48 divisors (see below), whose sum is σ = 234397800. Its totient is φ = 57630720.

The previous prime is 116242429. The next prime is 116242433. The reversal of 116242432 is 234242611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 116242397 and 116242406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116242433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431994 + ... + 432262.

Almost surely, 2116242432 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 116242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117198900).

116242432 is an abundant number, since it is smaller than the sum of its proper divisors (118155368).

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

116242432 is an equidigital number, since it uses as much as digits as its factorization.

116242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 116242432 is about 10781.5783631155. The cubic root of 116242432 is about 488.0394127444.

The spelling of 116242432 in words is "one hundred sixteen million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 211 256 269 422 512 538 844 1024 1076 1688 2048 2152 3376 4304 6752 8608 13504 17216 27008 34432 54016 56759 68864 108032 113518 137728 216064 227036 275456 432128 454072 550912 908144 1816288 3632576 7265152 14530304 29060608 58121216 116242432