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12276480 = 283523139
BaseRepresentation
bin101110110101…
…001100000000
3212002201011110
4232311030000
511120321410
61115043320
7206230326
oct56651400
925081143
1012276480
116a25557
124140540
13270aab8
1418b7d16
151127720
hexbb5300

12276480 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3108864.

The previous prime is 12276479. The next prime is 12276487. The reversal of 12276480 is 8467221.

It is a super-2 number, since 2×122764802 = 301423922380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12276487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88251 + ... + 88389.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 212276480 is an apocalyptic number.

12276480 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 12276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

12276480 is an abundant number, since it is smaller than the sum of its proper divisors (28930560).

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

12276480 is a wasteful number, since it uses less digits than its factorization.

12276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12276480 is about 3503.7808150625. The cubic root of 12276480 is about 230.6877962238.

The spelling of 12276480 in words is "twelve million, two hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 139 160 184 192 230 240 256 276 278 320 345 368 384 417 460 480 552 556 640 690 695 736 768 834 920 960 1104 1112 1280 1380 1390 1472 1668 1840 1920 2085 2208 2224 2760 2780 2944 3197 3336 3680 3840 4170 4416 4448 5520 5560 5888 6394 6672 7360 8340 8832 8896 9591 11040 11120 12788 13344 14720 15985 16680 17664 17792 19182 22080 22240 25576 26688 29440 31970 33360 35584 38364 44160 44480 47955 51152 53376 63940 66720 76728 88320 88960 95910 102304 106752 127880 133440 153456 177920 191820 204608 255760 266880 306912 383640 409216 511520 533760 613824 767280 818432 1023040 1227648 1534560 2046080 2455296 3069120 4092160 6138240 12276480