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12755040 = 253526573
BaseRepresentation
bin110000101010…
…000001100000
3220000000121220
4300222001200
511231130130
61133215040
7213262464
oct60520140
926000556
1012755040
117222061
124331480
13284787c
1419a04a4
1511be410
hexc2a060

12755040 has 48 divisors (see below), whose sum is σ = 40179888. Its totient is φ = 3401216.

The previous prime is 12755027. The next prime is 12755051. The reversal of 12755040 is 4055721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12755040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12807 + ... + 13766.

It is an arithmetic number, because the mean of its divisors is an integer number (837081).

Almost surely, 212755040 is an apocalyptic number.

12755040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12755040 is an abundant number, since it is smaller than the sum of its proper divisors (27424848).

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

12755040 is a wasteful number, since it uses less digits than its factorization.

12755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26591 (or 26583 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 12755040 is about 3571.4198857037. The cubic root of 12755040 is about 233.6472147637.

The spelling of 12755040 in words is "twelve million, seven hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26573 53146 79719 106292 132865 159438 212584 265730 318876 398595 425168 531460 637752 797190 850336 1062920 1275504 1594380 2125840 2551008 3188760 4251680 6377520 12755040