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2680528 = 242953109
BaseRepresentation
bin1010001110011011010000
312001011222211
422032123100
51141234103
6133241504
731532644
oct12163320
95034884
102680528
111570a14
12a93294
1372b116
144dac24
1537e36d
hex28e6d0

2680528 has 40 divisors (see below), whose sum is σ = 5524200. Its totient is φ = 1257984.

The previous prime is 2680519. The next prime is 2680541. The reversal of 2680528 is 8250862.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 1774224 = 952^2 + 1332^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2680528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24538 + ... + 24646.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

22680528 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 2680528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762100).

2680528 is an abundant number, since it is smaller than the sum of its proper divisors (2843672).

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

2680528 is a wasteful number, since it uses less digits than its factorization.

2680528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2680528 is about 1637.2318100990. The cubic root of 2680528 is about 138.9121125491.

The spelling of 2680528 in words is "two million, six hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 53 58 106 109 116 212 218 232 424 436 464 848 872 1537 1744 3074 3161 5777 6148 6322 11554 12296 12644 23108 24592 25288 46216 50576 92432 167533 335066 670132 1340264 2680528