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12311040 = 29357229
BaseRepresentation
bin101110111101…
…101000000000
3212011110120110
4232331220000
511122423130
61115511320
7206433150
oct56755000
925143513
1012311040
116a49515
124158540
132720751
1418c6760
151132ab0
hexbbda00

12311040 has 160 divisors (see below), whose sum is σ = 45175680. Its totient is φ = 2801664.

The previous prime is 12311027. The next prime is 12311053. The reversal of 12311040 is 4011321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12311027) and next prime (12311053).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53646 + ... + 53874.

It is an arithmetic number, because the mean of its divisors is an integer number (282348).

Almost surely, 212311040 is an apocalyptic number.

12311040 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 12311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587840).

12311040 is an abundant number, since it is smaller than the sum of its proper divisors (32864640).

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

12311040 is an equidigital number, since it uses as much as digits as its factorization.

12311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12311040 is about 3508.7091643509. The cubic root of 12311040 is about 230.9040661594.

Adding to 12311040 its reverse (4011321), we get a palindrome (16322361).

The spelling of 12311040 in words is "twelve million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 229 240 256 280 320 336 384 420 448 458 480 512 560 640 672 687 768 840 896 916 960 1120 1145 1280 1344 1374 1536 1603 1680 1792 1832 1920 2240 2290 2560 2688 2748 3206 3360 3435 3584 3664 3840 4480 4580 4809 5376 5496 6412 6720 6870 7328 7680 8015 8960 9160 9618 10752 10992 12824 13440 13740 14656 16030 17920 18320 19236 21984 24045 25648 26880 27480 29312 32060 36640 38472 43968 48090 51296 53760 54960 58624 64120 73280 76944 87936 96180 102592 109920 117248 128240 146560 153888 175872 192360 205184 219840 256480 293120 307776 351744 384720 410368 439680 512960 586240 615552 769440 820736 879360 1025920 1231104 1538880 1758720 2051840 2462208 3077760 4103680 6155520 12311040