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12743920 = 245723251
BaseRepresentation
bin110000100111…
…010011110000
3212222110101001
4300213103300
511230301140
61133051344
7213215200
oct60472360
925873331
1012743920
117214772
124326b54
1328427a7
14199a400
1511bae9a
hexc274f0

12743920 has 60 divisors (see below), whose sum is σ = 34477704. Its totient is φ = 4368000.

The previous prime is 12743917. The next prime is 12743923. The reversal of 12743920 is 2934721.

It is an interprime number because it is at equal distance from previous prime (12743917) and next prime (12743923).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743923) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2295 + ... + 5545.

Almost surely, 212743920 is an apocalyptic number.

12743920 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 12743920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238852).

12743920 is an abundant number, since it is smaller than the sum of its proper divisors (21733784).

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

12743920 is a wasteful number, since it uses less digits than its factorization.

12743920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 12743920 is about 3569.8627424594. The cubic root of 12743920 is about 233.5792961885.

The spelling of 12743920 in words is "twelve million, seven hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3251 3920 6502 13004 16255 22757 26008 32510 45514 52016 65020 91028 113785 130040 159299 182056 227570 260080 318598 364112 455140 637196 796495 910280 1274392 1592990 1820560 2548784 3185980 6371960 12743920