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1285056 = 26322397
BaseRepresentation
bin100111001101111000000
32102021202200
410321233000
5312110211
643313200
713631343
oct4715700
92367680
101285056
117a8533
1251b800
1335cbb6
1425645a
151a5b56
hex139bc0

1285056 has 84 divisors (see below), whose sum is σ = 3883152. Its totient is φ = 405504.

The previous prime is 1285051. The next prime is 1285057. The reversal of 1285056 is 6505821.

1285056 = T213 + T214 + ... + T258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13200 + ... + 13296.

It is an arithmetic number, because the mean of its divisors is an integer number (46228).

21285056 is an apocalyptic number.

1285056 is a gapful number since it is divisible by the number (16) 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 1285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941576).

1285056 is an abundant number, since it is smaller than the sum of its proper divisors (2598096).

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

1285056 is a wasteful number, since it uses less digits than its factorization.

1285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1285056 is about 1133.6031051475. The cubic root of 1285056 is about 108.7194761738.

It can be divided in two parts, 128 and 5056, that added together give a square (5184 = 722).

The spelling of 1285056 in words is "one million, two hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 97 138 144 184 192 194 207 276 288 291 368 388 414 552 576 582 736 776 828 873 1104 1164 1472 1552 1656 1746 2208 2231 2328 3104 3312 3492 4416 4462 4656 6208 6624 6693 6984 8924 9312 13248 13386 13968 17848 18624 20079 26772 27936 35696 40158 53544 55872 71392 80316 107088 142784 160632 214176 321264 428352 642528 1285056