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2540528 = 241961137
BaseRepresentation
bin1001101100001111110000
311210001221122
421230033300
51122244103
6130241412
730410534
oct11541760
94701848
102540528
111485811
12a26268
136ac493
144a1bc4
15352b38
hex26c3f0

2540528 has 40 divisors (see below), whose sum is σ = 5304720. Its totient is φ = 1175040.

The previous prime is 2540519. The next prime is 2540533. The reversal of 2540528 is 8250452.

2540528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2540497 and 2540506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18476 + ... + 18612.

It is an arithmetic number, because the mean of its divisors is an integer number (132618).

22540528 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 2540528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652360).

2540528 is an abundant number, since it is smaller than the sum of its proper divisors (2764192).

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

2540528 is a wasteful number, since it uses less digits than its factorization.

2540528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2540528 is about 1593.9033847759. The cubic root of 2540528 is about 136.4503524938.

The spelling of 2540528 in words is "two million, five hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 61 76 122 137 152 244 274 304 488 548 976 1096 1159 2192 2318 2603 4636 5206 8357 9272 10412 16714 18544 20824 33428 41648 66856 133712 158783 317566 635132 1270264 2540528