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12421024 = 25711712
BaseRepresentation
bin101111011000…
…011110100000
3212101001102221
4233120132200
511134433044
61122120424
7210401620
oct57303640
925331387
1012421024
117014110
1241b0114
13275b825
141914880
151155484
hexbd87a0

12421024 has 72 divisors (see below), whose sum is σ = 30923424. Its totient is φ = 4771200.

The previous prime is 12421021. The next prime is 12421037. The reversal of 12421024 is 42012421.

12421024 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 12420989 and 12421007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12421021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174909 + ... + 174979.

It is an arithmetic number, because the mean of its divisors is an integer number (429492).

Almost surely, 212421024 is an apocalyptic number.

12421024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461712).

12421024 is an abundant number, since it is smaller than the sum of its proper divisors (18502400).

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

12421024 is an equidigital number, since it uses as much as digits as its factorization.

12421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12421024 is about 3524.3473154614. The cubic root of 12421024 is about 231.5896432061.

Adding to 12421024 its reverse (42012421), we get a palindrome (54433445).

The spelling of 12421024 in words is "twelve million, four hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 142 154 176 224 284 308 352 497 568 616 781 994 1136 1232 1562 1988 2272 2464 3124 3976 5041 5467 6248 7952 10082 10934 12496 15904 20164 21868 24992 35287 40328 43736 55451 70574 80656 87472 110902 141148 161312 174944 221804 282296 388157 443608 564592 776314 887216 1129184 1552628 1774432 3105256 6210512 12421024