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12260430 = 2335713499
BaseRepresentation
bin101110110001…
…010001001110
3212001220011000
4232301101032
511114313210
61114441130
7206132460
oct56612116
925056130
1012260430
116a14496
1241331a6
1327036c0
1418b2130
151122ac0
hexbb144e

12260430 has 128 divisors (see below), whose sum is σ = 40320000. Its totient is φ = 2581632.

The previous prime is 12260419. The next prime is 12260447. The reversal of 12260430 is 3406221.

It is a happy number.

12260430 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24321 + ... + 24819.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 212260430 is an apocalyptic number.

12260430 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 12260430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160000).

12260430 is an abundant number, since it is smaller than the sum of its proper divisors (28059570).

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

12260430 is a wasteful number, since it uses less digits than its factorization.

12260430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12260430 is about 3501.4896829778. The cubic root of 12260430 is about 230.5872203301.

Adding to 12260430 its reverse (3406221), we get a palindrome (15666651).

The spelling of 12260430 in words is "twelve million, two hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 499 546 585 630 702 819 910 945 998 1170 1365 1497 1638 1755 1890 2457 2495 2730 2994 3493 3510 4095 4491 4914 4990 6487 6986 7485 8190 8982 10479 12285 12974 13473 14970 17465 19461 20958 22455 24570 26946 31437 32435 34930 38922 44910 45409 52395 58383 62874 64870 67365 90818 94311 97305 104790 116766 134730 136227 157185 175149 188622 194610 227045 272454 291915 314370 350298 408681 454090 471555 583830 681135 817362 875745 943110 1226043 1362270 1751490 2043405 2452086 4086810 6130215 12260430