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520296100 = 225222812
BaseRepresentation
bin11111000000110…
…001011010100100
31100021000210001221
4133000301122210
52031143433400
6123343430124
715615305152
oct3700613244
91307023057
10520296100
1124776a185
121262b5344
1383a4021c
144d15a3d2
1530a26c1a
hex1f0316a4

520296100 has 27 divisors (see below), whose sum is σ = 1129537731. Its totient is φ = 208027200.

The previous prime is 520296089. The next prime is 520296103. The reversal of 520296100 is 1692025.

The square root of 520296100 is 22810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 519475264 = 906^2 + 22792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520296103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 226960 + ... + 229240.

Almost surely, 2520296100 is an apocalyptic number.

520296100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

520296100 is the 22810-th square number.

It is an amenable number.

520296100 is an abundant number, since it is smaller than the sum of its proper divisors (609241631).

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

520296100 is an equidigital number, since it uses as much as digits as its factorization.

520296100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The cubic root of 520296100 is about 804.2977556916.

Multiplying 520296100 by its sum of digits (25), we get a square (13007402500 = 1140502).

520296100 divided by its sum of digits (25) gives a square (20811844 = 45622).

The spelling of 520296100 in words is "five hundred twenty million, two hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2281 4562 9124 11405 22810 45620 57025 114050 228100 5202961 10405922 20811844 26014805 52029610 104059220 130074025 260148050 520296100