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1828920 = 233515241
BaseRepresentation
bin110111110100000111000
310102220210210
412332200320
5432011140
6103111120
721355062
oct6764070
93386723
101828920
11103a105
127424a0
134c0602
14358732
15261d80
hex1be838

1828920 has 32 divisors (see below), whose sum is σ = 5487120. Its totient is φ = 487680.

The previous prime is 1828903. The next prime is 1828933. The reversal of 1828920 is 298281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7501 + ... + 7740.

21828920 is an apocalyptic number.

1828920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828920 is an abundant number, since it is smaller than the sum of its proper divisors (3658200).

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

1828920 is a wasteful number, since it uses less digits than its factorization.

1828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15255 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1828920 is about 1352.3756874478. The cubic root of 1828920 is about 122.2920531467.

The spelling of 1828920 in words is "one million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 15241 30482 45723 60964 76205 91446 121928 152410 182892 228615 304820 365784 457230 609640 914460 1828920