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828090 = 23353067
BaseRepresentation
bin11001010001010111010
31120001221000
43022022322
5202444330
625425430
710016154
oct3121272
91501830
10828090
1151617a
1233b276
1322cbc3
14177ad4
15115560
hexca2ba

828090 has 32 divisors (see below), whose sum is σ = 2208960. Its totient is φ = 220752.

The previous prime is 828071. The next prime is 828101. The reversal of 828090 is 90828.

828090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1264 + ... + 1803.

It is an arithmetic number, because the mean of its divisors is an integer number (69030).

2828090 is an apocalyptic number.

828090 is an abundant number, since it is smaller than the sum of its proper divisors (1380870).

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

828090 is a wasteful number, since it uses less digits than its factorization.

828090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3083 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 828090 is about 909.9945054779. The cubic root of 828090 is about 93.9058208683.

The spelling of 828090 in words is "eight hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3067 6134 9201 15335 18402 27603 30670 46005 55206 82809 92010 138015 165618 276030 414045 828090