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12252440 = 2353141241
BaseRepresentation
bin101110101111…
…010100011000
3212001111012002
4232233110120
511114034230
61114340132
7206100254
oct56572430
925044162
1012252440
116a09492
12412a648
1326ccb85
1418ad264
151120545
hexbaf518

12252440 has 64 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 4608000.

The previous prime is 12252431. The next prime is 12252469. The reversal of 12252440 is 4425221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50720 + ... + 50960.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 212252440 is an apocalyptic number.

12252440 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 12252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

12252440 is an abundant number, since it is smaller than the sum of its proper divisors (17019880).

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

12252440 is a wasteful number, since it uses less digits than its factorization.

12252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 12252440 is about 3500.3485540729. The cubic root of 12252440 is about 230.5371189808.

Adding to 12252440 its reverse (4425221), we get a palindrome (16677661).

The spelling of 12252440 in words is "twelve million, two hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 241 248 310 328 410 482 620 820 964 1205 1240 1271 1640 1928 2410 2542 4820 5084 6355 7471 9640 9881 10168 12710 14942 19762 25420 29884 37355 39524 49405 50840 59768 74710 79048 98810 149420 197620 298840 306311 395240 612622 1225244 1531555 2450488 3063110 6126220 12252440