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2505132 = 223279941
BaseRepresentation
bin1001100011100110101100
311201021101200
421203212230
51120131012
6125405500
730202410
oct11434654
94637350
102505132
111461163
12a09890
13699336
14492d40
153473dc
hex2639ac

2505132 has 36 divisors (see below), whose sum is σ = 7237776. Its totient is φ = 715680.

The previous prime is 2505127. The next prime is 2505133. The reversal of 2505132 is 2315052.

It is a happy number.

2505132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505133) 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 11 ways as a sum of consecutive naturals, for example, 4719 + ... + 5222.

22505132 is an apocalyptic number.

It is an amenable number.

2505132 is an abundant number, since it is smaller than the sum of its proper divisors (4732644).

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

2505132 is a wasteful number, since it uses less digits than its factorization.

2505132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9958 (or 9953 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2505132 is about 1582.7608789707. The cubic root of 2505132 is about 135.8136866295.

The spelling of 2505132 in words is "two million, five hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 9941 19882 29823 39764 59646 69587 89469 119292 139174 178938 208761 278348 357876 417522 626283 835044 1252566 2505132