Search a number
-
+
12421328 = 243179317
BaseRepresentation
bin101111011000…
…100011010000
3212101001212012
4233120203100
511134440303
61122122052
7210402533
oct57304320
925331765
1012421328
117014367
1241b0328
13275b9ca
141914a1a
1511555d8
hexbd88d0

12421328 has 40 divisors (see below), whose sum is σ = 25236480. Its totient is φ = 5915520.

The previous prime is 12421327. The next prime is 12421333. The reversal of 12421328 is 82312421.

It is a happy number.

It is a super-3 number, since 3×124213283 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39026 + ... + 39342.

It is an arithmetic number, because the mean of its divisors is an integer number (630912).

Almost surely, 212421328 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 12421328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618240).

12421328 is an abundant number, since it is smaller than the sum of its proper divisors (12815152).

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

12421328 is a wasteful number, since it uses less digits than its factorization.

12421328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 12421328 is about 3524.3904437505. The cubic root of 12421328 is about 231.5915325479.

Adding to 12421328 its reverse (82312421), we get a palindrome (94733749).

The spelling of 12421328 in words is "twelve million, four hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 317 496 632 634 1264 1268 2449 2536 4898 5072 9796 9827 19592 19654 25043 39184 39308 50086 78616 100172 157232 200344 400688 776333 1552666 3105332 6210664 12421328