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420273 = 3272953
BaseRepresentation
bin1100110100110110001
3210100111200
41212212301
5101422043
613001413
73400200
oct1464661
9710450
10420273
11267837
12183269
131193a9
14ad237
15847d3
hex669b1

420273 has 18 divisors (see below), whose sum is σ = 706914. Its totient is φ = 239904.

The previous prime is 420271. The next prime is 420293. The reversal of 420273 is 372024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 74529 = 588^2 + 273^2 .

It is not a de Polignac number, because 420273 - 21 = 420271 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (39273).

2420273 is an apocalyptic number.

It is an amenable number.

420273 is a deficient number, since it is larger than the sum of its proper divisors (286641).

420273 is a wasteful number, since it uses less digits than its factorization.

420273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420273 is about 648.2846596982. The cubic root of 420273 is about 74.9049462480.

Adding to 420273 its reverse (372024), we get a palindrome (792297).

The spelling of 420273 in words is "four hundred twenty thousand, two hundred seventy-three", and thus it is an iban number.

Divisors: 1 3 7 9 21 49 63 147 441 953 2859 6671 8577 20013 46697 60039 140091 420273