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2890764 = 2232591361
BaseRepresentation
bin1011000001110000001100
312102212101100
423001300030
51220001024
6141543100
733366612
oct13016014
95385340
102890764
1116a4968
12b74a90
137a2a16
145536b2
153c17c9
hex2c1c0c

2890764 has 36 divisors (see below), whose sum is σ = 7436520. Its totient is φ = 946560.

The previous prime is 2890763. The next prime is 2890813. The reversal of 2890764 is 4670982.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2890763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1444 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (206570).

22890764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718260).

2890764 is an abundant number, since it is smaller than the sum of its proper divisors (4545756).

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

2890764 is a wasteful number, since it uses less digits than its factorization.

2890764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2890764 is about 1700.2246910335. The cubic root of 2890764 is about 142.4527636604.

The spelling of 2890764 in words is "two million, eight hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1361 2124 2722 4083 5444 8166 12249 16332 24498 48996 80299 160598 240897 321196 481794 722691 963588 1445382 2890764