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2928090 = 2351119467
BaseRepresentation
bin1011001010110111011010
312111202120210
423022313122
51222144330
6142431550
733613464
oct13126732
95452523
102928090
11171aa10
12b925b6
137b69c9
14563134
153cc8b0
hex2cadda

2928090 has 64 divisors (see below), whose sum is σ = 8087040. Its totient is φ = 671040.

The previous prime is 2928089. The next prime is 2928113. The reversal of 2928090 is 908292.

It is a super-2 number, since 2×29280902 = 17147422096200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037 + ... + 6503.

It is an arithmetic number, because the mean of its divisors is an integer number (126360).

22928090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043520).

2928090 is an abundant number, since it is smaller than the sum of its proper divisors (5158950).

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

2928090 is a wasteful number, since it uses less digits than its factorization.

2928090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 2928090 is about 1711.1662689523. The cubic root of 2928090 is about 143.0632676829.

The spelling of 2928090 in words is "two million, nine hundred twenty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 467 570 627 934 1045 1254 1401 2090 2335 2802 3135 4670 5137 6270 7005 8873 10274 14010 15411 17746 25685 26619 30822 44365 51370 53238 77055 88730 97603 133095 154110 195206 266190 292809 488015 585618 976030 1464045 2928090