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2530208 = 25372137
BaseRepresentation
bin1001101001101110100000
311202112210102
421221232200
51121431313
6130121532
730335462
oct11515640
94675712
102530208
111478a8a
12a202a8
136a7885
1449c132
1534ea58
hex269ba0

2530208 has 24 divisors (see below), whose sum is σ = 5118372. Its totient is φ = 1230336.

The previous prime is 2530201. The next prime is 2530223. The reversal of 2530208 is 8020352.

It can be written as a sum of positive squares in 2 ways, for example, as 2521744 + 8464 = 1588^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2530208.

It is not an unprimeable number, because it can be changed into a prime (2530201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 2252.

22530208 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 2530208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559186).

2530208 is an abundant number, since it is smaller than the sum of its proper divisors (2588164).

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

2530208 is a wasteful number, since it uses less digits than its factorization.

2530208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2530208 is about 1590.6627549547. The cubic root of 2530208 is about 136.2653412572.

The spelling of 2530208 in words is "two million, five hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 2137 4274 8548 17096 34192 68384 79069 158138 316276 632552 1265104 2530208