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28740090 = 23571103131
BaseRepresentation
bin110110110100…
…0100111111010
32000002010222210
41231220213322
524324140330
62503555550
7466200231
oct155504772
960063883
1028740090
111524a945
12975bbb6
135c53692
143b61b18
1527ca8b0
hex1b689fa

28740090 has 64 divisors (see below), whose sum is σ = 71165952. Its totient is φ = 7425600.

The previous prime is 28740079. The next prime is 28740091. The reversal of 28740090 is 9004782.

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

It is not an unprimeable number, because it can be changed into a prime (28740091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219325 + ... + 219455.

It is an arithmetic number, because the mean of its divisors is an integer number (1111968).

Almost surely, 228740090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28740090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35582976).

28740090 is an abundant number, since it is smaller than the sum of its proper divisors (42425862).

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

28740090 is a wasteful number, since it uses less digits than its factorization.

28740090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28740090 is about 5360.9784554687. The cubic root of 28740090 is about 306.3110809723.

The spelling of 28740090 in words is "twenty-eight million, seven hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 71 103 131 142 206 213 262 309 355 393 426 515 618 655 710 786 1030 1065 1310 1545 1965 2130 3090 3930 7313 9301 13493 14626 18602 21939 26986 27903 36565 40479 43878 46505 55806 67465 73130 80958 93010 109695 134930 139515 202395 219390 279030 404790 958003 1916006 2874009 4790015 5748018 9580030 14370045 28740090