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12755440 = 2451783113
BaseRepresentation
bin110000101010…
…000111110000
3220000001011201
4300222013300
511231133230
61133220544
7213263605
oct60520760
926001151
1012755440
117222395
124331754
132847ac9
1419a06ac
1511be5ca
hexc2a1f0

12755440 has 80 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 4702208.

The previous prime is 12755437. The next prime is 12755453. The reversal of 12755440 is 4455721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12755399 and 12755408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112824 + ... + 112936.

Almost surely, 212755440 is an apocalyptic number.

12755440 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 12755440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

12755440 is an abundant number, since it is smaller than the sum of its proper divisors (19305008).

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

12755440 is a wasteful number, since it uses less digits than its factorization.

12755440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 12755440 is about 3571.4758854009. The cubic root of 12755440 is about 233.6496571422.

The spelling of 12755440 in words is "twelve million, seven hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 113 136 166 170 226 272 332 340 415 452 565 664 680 830 904 1130 1328 1360 1411 1660 1808 1921 2260 2822 3320 3842 4520 5644 6640 7055 7684 9040 9379 9605 11288 14110 15368 18758 19210 22576 28220 30736 37516 38420 46895 56440 75032 76840 93790 112880 150064 153680 159443 187580 318886 375160 637772 750320 797215 1275544 1594430 2551088 3188860 6377720 12755440