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2520864 = 25328753
BaseRepresentation
bin1001100111011100100000
311202001222100
421213130200
51121131424
6130010400
730266313
oct11473440
94661870
102520864
111471a65
12a16a00
136a3548
1449897a
1534bdc9
hex267720

2520864 has 36 divisors (see below), whose sum is σ = 7169526. Its totient is φ = 840192.

The previous prime is 2520853. The next prime is 2520887. The reversal of 2520864 is 4680252.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 810000 = 1308^2 + 900^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4089 + ... + 4664.

22520864 is an apocalyptic number.

2520864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2520864 is an abundant number, since it is smaller than the sum of its proper divisors (4648662).

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

2520864 is a wasteful number, since it uses less digits than its factorization.

2520864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2520864 is about 1587.7228977375. The cubic root of 2520864 is about 136.0973927526.

The spelling of 2520864 in words is "two million, five hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8753 17506 26259 35012 52518 70024 78777 105036 140048 157554 210072 280096 315108 420144 630216 840288 1260432 2520864