Search a number
-
+
12429450 = 236521131
BaseRepresentation
bin101111011010…
…100010001010
3212101111000000
4233122202022
511140220300
61122223430
7210435315
oct57324212
925344000
1012429450
11701a480
1241b4b76
132762607
14191797c
151157c00
hexbda88a

12429450 has 168 divisors, whose sum is σ = 39033216. Its totient is φ = 2916000.

The previous prime is 12429449. The next prime is 12429457. The reversal of 12429450 is 5492421.

12429450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12429457) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 400935 + ... + 400965.

Almost surely, 212429450 is an apocalyptic number.

12429450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12429450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19516608).

12429450 is an abundant number, since it is smaller than the sum of its proper divisors (26603766).

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

12429450 is a wasteful number, since it uses less digits than its factorization.

12429450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12429450 is about 3525.5425114442. The cubic root of 12429450 is about 231.6419988802.

The spelling of 12429450 in words is "twelve million, four hundred twenty-nine thousand, four hundred fifty".