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420803125 = 5517892
BaseRepresentation
bin11001000101001…
…111001000110101
31002022211000100221
4121011033020311
51330211200000
6105431134341
713266524161
oct3105171065
91068730327
10420803125
111a6594686
12b8b143b1
1369246442
143dc5bca1
1526e2261a
hex1914f235

420803125 has 36 divisors (see below), whose sum is σ = 563237388. Its totient is φ = 313280000.

The previous prime is 420803087. The next prime is 420803143. The reversal of 420803125 is 521308024.

It can be written as a sum of positive squares in 18 ways, for example, as 310006449 + 110796676 = 17607^2 + 10526^2 .

It is not a de Polignac number, because 420803125 - 223 = 412414517 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420803125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4728081 + ... + 4728169.

It is an arithmetic number, because the mean of its divisors is an integer number (15645483).

Almost surely, 2420803125 is an apocalyptic number.

It is an amenable number.

420803125 is a deficient number, since it is larger than the sum of its proper divisors (142434263).

420803125 is an frugal number, since it uses more digits than its factorization.

420803125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 111 counting only the distinct ones).

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

The square root of 420803125 is about 20513.4864174767. The cubic root of 420803125 is about 749.3642761072.

The spelling of 420803125 in words is "four hundred twenty million, eight hundred three thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 89 125 425 445 625 1513 2125 2225 3125 7565 7921 10625 11125 37825 39605 53125 55625 134657 189125 198025 278125 673285 945625 990125 3366425 4728125 4950625 16832125 24753125 84160625 420803125