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420453 = 321131137
BaseRepresentation
bin1100110101001100101
3210100202100
41212221211
5101423303
613002313
73400545
oct1465145
9710670
10420453
11267990
12183399
131194b7
14ad325
15848a3
hex66a65

420453 has 24 divisors (see below), whose sum is σ = 688896. Its totient is φ = 244800.

The previous prime is 420439. The next prime is 420457. The reversal of 420453 is 354024.

It is a happy number.

It is not a de Polignac number, because 420453 - 25 = 420421 is a prime.

It is a Curzon number.

420453 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420453.

It is not an unprimeable number, because it can be changed into a prime (420457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (28704).

2420453 is an apocalyptic number.

It is an amenable number.

420453 is a deficient number, since it is larger than the sum of its proper divisors (268443).

420453 is a wasteful number, since it uses less digits than its factorization.

420453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420453 is about 648.4234727398. The cubic root of 420453 is about 74.9156384774.

Adding to 420453 its reverse (354024), we get a palindrome (774477).

The spelling of 420453 in words is "four hundred twenty thousand, four hundred fifty-three".

Divisors: 1 3 9 11 31 33 93 99 137 279 341 411 1023 1233 1507 3069 4247 4521 12741 13563 38223 46717 140151 420453