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1285120 = 2105251
BaseRepresentation
bin100111001110000000000
32102021212001
410321300000
5312110440
643313344
713631464
oct4716000
92367761
101285120
117a8591
1251b854
1335cc35
142564a4
151a5b9a
hex139c00

1285120 has 44 divisors (see below), whose sum is σ = 3095064. Its totient is φ = 512000.

The previous prime is 1285117. The next prime is 1285129. The reversal of 1285120 is 215821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4995 + ... + 5245.

21285120 is an apocalyptic number.

1285120 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 1285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547532).

1285120 is an abundant number, since it is smaller than the sum of its proper divisors (1809944).

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

1285120 is an equidigital number, since it uses as much as digits as its factorization.

1285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1285120 is about 1133.6313333708. The cubic root of 1285120 is about 108.7212810059.

The spelling of 1285120 in words is "one million, two hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 1004 1024 1255 1280 2008 2510 2560 4016 5020 5120 8032 10040 16064 20080 32128 40160 64256 80320 128512 160640 257024 321280 642560 1285120