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4680520 = 235139001
BaseRepresentation
bin10001110110101101001000
322210210110121
4101312231020
52144234040
6244153024
754532555
oct21665510
98723417
104680520
1127075a9
121698774
13c7b550
1489ba2c
15626c4a
hex476b48

4680520 has 32 divisors (see below), whose sum is σ = 11342520. Its totient is φ = 1728000.

The previous prime is 4680503. The next prime is 4680527. The reversal of 4680520 is 250864.

It can be written as a sum of positive squares in 4 ways, for example, as 2114116 + 2566404 = 1454^2 + 1602^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4680527) 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 7 ways as a sum of consecutive naturals, for example, 3981 + ... + 5020.

Almost surely, 24680520 is an apocalyptic number.

4680520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680520 is an abundant number, since it is smaller than the sum of its proper divisors (6662000).

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

4680520 is a wasteful number, since it uses less digits than its factorization.

4680520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025 (or 9021 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4680520 is about 2163.4509469826. The cubic root of 4680520 is about 167.2751270636.

It can be divided in two parts, 4680 and 520, that multiplied together give a square (2433600 = 15602).

The spelling of 4680520 in words is "four million, six hundred eighty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 9001 18002 36004 45005 72008 90010 117013 180020 234026 360040 468052 585065 936104 1170130 2340260 4680520