Search a number
-
+
2765328 = 243531087
BaseRepresentation
bin1010100011001000010000
312012111022120
422203020100
51201442303
6135134240
732335116
oct12431020
95174276
102765328
1116196a5
12b14380
1375a8b7
1451dab6
15399553
hex2a3210

2765328 has 40 divisors (see below), whose sum is σ = 7285248. Its totient is φ = 903552.

The previous prime is 2765309. The next prime is 2765333. The reversal of 2765328 is 8235672.

2765328 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 3087.

22765328 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 2765328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624).

2765328 is an abundant number, since it is smaller than the sum of its proper divisors (4519920).

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

2765328 is a wasteful number, since it uses less digits than its factorization.

2765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2765328 is about 1662.9275390106. The cubic root of 2765328 is about 140.3617853642.

The spelling of 2765328 in words is "two million, seven hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1087 1272 2174 2544 3261 4348 6522 8696 13044 17392 26088 52176 57611 115222 172833 230444 345666 460888 691332 921776 1382664 2765328