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12263130 = 2335114129
BaseRepresentation
bin101110110001…
…111011011010
3212002000212000
4232301323122
511114410010
61114501430
7206143365
oct56617332
925060760
1012263130
116a16520
124134876
1327049b9
1418b30dc
1511237c0
hexbb1eda

12263130 has 64 divisors (see below), whose sum is σ = 35683200. Its totient is φ = 2972160.

The previous prime is 12263129. The next prime is 12263149. The reversal of 12263130 is 3136221.

12263130 is a `hidden beast` number, since 1 + 2 + 2 + 631 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906 + ... + 5034.

It is an arithmetic number, because the mean of its divisors is an integer number (557550).

Almost surely, 212263130 is an apocalyptic number.

12263130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841600).

12263130 is an abundant number, since it is smaller than the sum of its proper divisors (23420070).

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

12263130 is a wasteful number, since it uses less digits than its factorization.

12263130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12263130 is about 3501.8752119400. The cubic root of 12263130 is about 230.6041457777.

Adding to 12263130 its reverse (3136221), we get a palindrome (15399351).

It can be divided in two parts, 1226 and 3130, that added together give a square (4356 = 662).

The spelling of 12263130 in words is "twelve million, two hundred sixty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4129 8258 12387 20645 24774 37161 41290 45419 61935 74322 90838 111483 123870 136257 185805 222966 227095 272514 371610 408771 454190 557415 681285 817542 1114830 1226313 1362570 2043855 2452626 4087710 6131565 12263130