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320400125 = 5316012
BaseRepresentation
bin10011000110001…
…110101011111101
3211022220000100022
4103012032223331
51124010301000
651443141525
710640233103
oct2306165375
9738800308
10320400125
111549483a1
128b3748a5
13514c1396
14307a3c73
151d1dd585
hex1318eafd

320400125 has 12 divisors (see below), whose sum is σ = 400109268. Its totient is φ = 256160000.

The previous prime is 320400109. The next prime is 320400133. The reversal of 320400125 is 521004023.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 5373124 + 315027001 = 2318^2 + 17749^2 .

It is not a de Polignac number, because 320400125 - 24 = 320400109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199325 + ... + 200925.

It is an arithmetic number, because the mean of its divisors is an integer number (33342439).

Almost surely, 2320400125 is an apocalyptic number.

It is an amenable number.

320400125 is a deficient number, since it is larger than the sum of its proper divisors (79709143).

320400125 is an frugal number, since it uses more digits than its factorization.

320400125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 320400125 is about 17899.7241598858. The cubic root of 320400125 is about 684.2753449830.

Adding to 320400125 its reverse (521004023), we get a palindrome (841404148).

The spelling of 320400125 in words is "three hundred twenty million, four hundred thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1601 8005 40025 200125 2563201 12816005 64080025 320400125