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12252420 = 22325431583
BaseRepresentation
bin101110101111…
…010100000100
3212001111011100
4232233110010
511114034140
61114340100
7206100225
oct56572404
925044140
1012252420
116a09474
12412a630
1326ccb6b
1418ad24c
151120530
hexbaf504

12252420 has 72 divisors (see below), whose sum is σ = 38054016. Its totient is φ = 3189312.

The previous prime is 12252407. The next prime is 12252431. The reversal of 12252420 is 2425221.

12252420 is a `hidden beast` number, since 122 + 524 + 20 = 666.

12252420 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12252393 and 12252402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6949 + ... + 8531.

It is an arithmetic number, because the mean of its divisors is an integer number (528528).

Almost surely, 212252420 is an apocalyptic number.

12252420 is a gapful number since it is divisible by the number (10) 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 12252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027008).

12252420 is an abundant number, since it is smaller than the sum of its proper divisors (25801596).

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

12252420 is a wasteful number, since it uses less digits than its factorization.

12252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12252420 is about 3500.3456972133. The cubic root of 12252420 is about 230.5369935433.

Adding to 12252420 its reverse (2425221), we get a palindrome (14677641).

The spelling of 12252420 in words is "twelve million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1583 1935 2580 3166 3870 4749 6332 7740 7915 9498 14247 15830 18996 23745 28494 31660 47490 56988 68069 71235 94980 136138 142470 204207 272276 284940 340345 408414 612621 680690 816828 1021035 1225242 1361380 2042070 2450484 3063105 4084140 6126210 12252420