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2505330 = 23551031
BaseRepresentation
bin1001100011101001110010
311201021200000
421203221302
51120132310
6125410430
730203112
oct11435162
94637600
102505330
111461323
12a09a16
13699459
14493042
153474c0
hex263a72

2505330 has 48 divisors (see below), whose sum is σ = 6761664. Its totient is φ = 667440.

The previous prime is 2505311. The next prime is 2505337. The reversal of 2505330 is 335052.

2505330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2505337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1915 + ... + 2945.

It is an arithmetic number, because the mean of its divisors is an integer number (140868).

22505330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380832).

2505330 is an abundant number, since it is smaller than the sum of its proper divisors (4256334).

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

2505330 is a wasteful number, since it uses less digits than its factorization.

2505330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 2505330 is about 1582.8234266651. The cubic root of 2505330 is about 135.8172646714.

The spelling of 2505330 in words is "two million, five hundred five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1031 1215 2062 2430 3093 5155 6186 9279 10310 15465 18558 27837 30930 46395 55674 83511 92790 139185 167022 250533 278370 417555 501066 835110 1252665 2505330