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2097504 = 25327283
BaseRepresentation
bin1000000000000101100000
310221120020100
420000011200
51014110004
6112542400
723554113
oct10000540
93846210
102097504
111202982
12851a00
13585936
143c857a
152b6739
hex200160

2097504 has 36 divisors (see below), whose sum is σ = 5965596. Its totient is φ = 699072.

The previous prime is 2097503. The next prime is 2097517. The reversal of 2097504 is 4057902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3354 + ... + 3929.

It is an arithmetic number, because the mean of its divisors is an integer number (165711).

22097504 is an apocalyptic number.

2097504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2097504 is an abundant number, since it is smaller than the sum of its proper divisors (3868092).

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

2097504 is a wasteful number, since it uses less digits than its factorization.

2097504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7299 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2097504 is about 1448.2762167487. The cubic root of 2097504 is about 128.0071610577.

It can be divided in two parts, 2097 and 504, that added together give a square (2601 = 512).

The spelling of 2097504 in words is "two million, ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7283 14566 21849 29132 43698 58264 65547 87396 116528 131094 174792 233056 262188 349584 524376 699168 1048752 2097504