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12456990 = 23457133
BaseRepresentation
bin101111100001…
…010000011110
3212102212210000
4233201100132
511142110430
61122555130
7210611520
oct57412036
925385700
1012456990
117039137
124208aa6
132772000
141923a10
151160e60
hexbe141e

12456990 has 160 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 2628288.

The previous prime is 12456943. The next prime is 12456991. The reversal of 12456990 is 9965421.

12456990 is a `hidden beast` number, since 1 + 2 + 4 + 569 + 90 = 666.

12456990 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12456990 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456991) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958224 + ... + 958236.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 212456990 is an apocalyptic number.

12456990 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 12456990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

12456990 is an abundant number, since it is smaller than the sum of its proper divisors (29012130).

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

12456990 is an equidigital number, since it uses as much as digits as its factorization.

12456990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 12456990 is about 3529.4461321856. The cubic root of 12456990 is about 231.8129561578.

The spelling of 12456990 in words is "twelve million, four hundred fifty-six thousand, nine hundred ninety".

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 81 90 91 105 117 126 130 135 162 169 182 189 195 210 234 270 273 315 338 351 378 390 405 455 507 546 567 585 630 702 810 819 845 910 945 1014 1053 1134 1170 1183 1365 1521 1638 1690 1755 1890 2106 2197 2366 2457 2535 2730 2835 3042 3510 3549 4095 4394 4563 4914 5070 5265 5670 5915 6591 7098 7371 7605 8190 9126 10530 10647 10985 11830 12285 13182 13689 14742 15210 15379 17745 19773 21294 21970 22815 24570 27378 30758 31941 32955 35490 36855 39546 45630 46137 53235 59319 63882 65910 68445 73710 76895 92274 95823 98865 106470 118638 136890 138411 153790 159705 177957 191646 197730 230685 276822 296595 319410 355914 415233 461370 479115 593190 692055 830466 889785 958230 1245699 1384110 1779570 2076165 2491398 4152330 6228495 12456990