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12743472 = 2437172397
BaseRepresentation
bin110000100111…
…001100110000
3212222102202110
4300213030300
511230242342
61133045320
7213213660
oct60471460
925872673
1012743472
1172143a5
124326840
132842521
14199a1a0
1511bac9c
hexc27330

12743472 has 160 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 3244032.

The previous prime is 12743453. The next prime is 12743477. The reversal of 12743472 is 27434721.

It is a super-2 number, since 2×127434722 = 324792157229568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12743477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131328 + ... + 131424.

Almost surely, 212743472 is an apocalyptic number.

12743472 is a gapful number since it is divisible by the number (12) 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 12743472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

12743472 is an abundant number, since it is smaller than the sum of its proper divisors (29253840).

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

12743472 is a wasteful number, since it uses less digits than its factorization.

12743472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 12743472 is about 3569.7999943974. The cubic root of 12743472 is about 233.5765590728.

The spelling of 12743472 in words is "twelve million, seven hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 97 102 112 119 136 138 161 168 184 194 204 238 272 276 291 322 336 357 368 388 391 408 476 483 552 582 644 679 714 776 782 816 952 966 1104 1164 1173 1288 1358 1428 1552 1564 1649 1904 1932 2037 2231 2328 2346 2576 2716 2737 2856 3128 3298 3864 4074 4462 4656 4692 4947 5432 5474 5712 6256 6596 6693 7728 8148 8211 8924 9384 9894 10864 10948 11543 13192 13386 15617 16296 16422 17848 18768 19788 21896 23086 26384 26772 31234 32592 32844 34629 35696 37927 39576 43792 46172 46851 53544 62468 65688 69258 75854 79152 92344 93702 107088 113781 124936 131376 138516 151708 184688 187404 227562 249872 265489 277032 303416 374808 455124 530978 554064 606832 749616 796467 910248 1061956 1592934 1820496 2123912 3185868 4247824 6371736 12743472