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2520032 = 25611291
BaseRepresentation
bin1001100111001111100000
311202000211112
421213033200
51121120112
6130002452
730264014
oct11471740
94660745
102520032
111471379
12a16428
136a3058
14498544
1534ba22
hex2673e0

2520032 has 24 divisors (see below), whose sum is σ = 5046552. Its totient is φ = 1238400.

The previous prime is 2520031. The next prime is 2520073. The reversal of 2520032 is 2300252.

2520032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25200322 = 12701122562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2519989 and 2520016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520031) 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 3 ways as a sum of consecutive naturals, for example, 1307 + ... + 2597.

It is an arithmetic number, because the mean of its divisors is an integer number (210273).

22520032 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 2520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523276).

2520032 is an abundant number, since it is smaller than the sum of its proper divisors (2526520).

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

2520032 is a wasteful number, since it uses less digits than its factorization.

2520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2520032 is about 1587.4608656594. The cubic root of 2520032 is about 136.0824183244.

Adding to 2520032 its reverse (2300252), we get a palindrome (4820284).

The spelling of 2520032 in words is "two million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1291 1952 2582 5164 10328 20656 41312 78751 157502 315004 630008 1260016 2520032