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12420352 = 28729239
BaseRepresentation
bin101111011000…
…010100000000
3212101000112001
4233120110000
511134422402
61122113344
7210366640
oct57302400
925330461
1012420352
11701365a
1241ab854
13275b429
141914520
151155187
hexbd8500

12420352 has 72 divisors (see below), whose sum is σ = 29433600. Its totient is φ = 5117952.

The previous prime is 12420349. The next prime is 12420371. The reversal of 12420352 is 25302421.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51849 + ... + 52087.

It is an arithmetic number, because the mean of its divisors is an integer number (408800).

Almost surely, 212420352 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 12420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716800).

12420352 is an abundant number, since it is smaller than the sum of its proper divisors (17013248).

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

12420352 is an equidigital number, since it uses as much as digits as its factorization.

12420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 12420352 is about 3524.2519773705. The cubic root of 12420352 is about 231.5854666571.

Adding to 12420352 its reverse (25302421), we get a palindrome (37722773).

The spelling of 12420352 in words is "twelve million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 239 256 406 448 464 478 812 896 928 956 1624 1673 1792 1856 1912 3248 3346 3712 3824 6496 6692 6931 7424 7648 12992 13384 13862 15296 25984 26768 27724 30592 48517 51968 53536 55448 61184 97034 107072 110896 194068 214144 221792 388136 428288 443584 776272 887168 1552544 1774336 3105088 6210176 12420352