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1285000 = 2354257
BaseRepresentation
bin100111001101110001000
32102021200121
410321232020
5312110000
643313024
713631233
oct4715610
92367617
101285000
117a8492
1251b774
1335cb72
1425641a
151a5b1a
hex139b88

1285000 has 40 divisors (see below), whose sum is σ = 3022470. Its totient is φ = 512000.

The previous prime is 1284991. The next prime is 1285021. The reversal of 1285000 is 5821.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 232324 + 1052676 = 482^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4872 + ... + 5128.

21285000 is an apocalyptic number.

1285000 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 1285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511235).

1285000 is an abundant number, since it is smaller than the sum of its proper divisors (1737470).

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

1285000 is an equidigital number, since it uses as much as digits as its factorization.

1285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1285000 is about 1133.5784048755. The cubic root of 1285000 is about 108.7178968966.

It can be divided in two parts, 128 and 5000, that multiplied together give a square (640000 = 8002).

The spelling of 1285000 in words is "one million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 625 1000 1028 1250 1285 2056 2500 2570 5000 5140 6425 10280 12850 25700 32125 51400 64250 128500 160625 257000 321250 642500 1285000