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420245253 = 34171032963
BaseRepresentation
bin11001000011000…
…110111100000101
31002021202200010000
4121003012330011
51330040322003
6105411151513
713262011551
oct3103067405
91067680100
10420245253
111a624352a
12b88a5599
13690ac53c
143db54861
1526d621a3
hex190c6f05

420245253 has 40 divisors (see below), whose sum is σ = 671381568. Its totient is φ = 261035136.

The previous prime is 420245251. The next prime is 420245291. The reversal of 420245253 is 352542024.

It is a happy number.

420245253 is a `hidden beast` number, since 4 + 202 + 452 + 5 + 3 = 666.

It is not a de Polignac number, because 420245253 - 21 = 420245251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420245251) 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 39 ways as a sum of consecutive naturals, for example, 140350 + ... + 143312.

Almost surely, 2420245253 is an apocalyptic number.

It is an amenable number.

420245253 is a deficient number, since it is larger than the sum of its proper divisors (251136315).

420245253 is a wasteful number, since it uses less digits than its factorization.

420245253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 420245253 is about 20499.8842191852. The cubic root of 420245253 is about 749.0329776930.

Adding to 420245253 its reverse (352542024), we get a palindrome (772787277).

It can be divided in two parts, 4202 and 45253, that added together give a triangular number (49455 = T314).

The spelling of 420245253 in words is "four hundred twenty million, two hundred forty-five thousand, two hundred fifty-three".

Divisors: 1 3 9 17 27 51 81 103 153 309 459 927 1377 1751 2781 2963 5253 8343 8889 15759 26667 47277 50371 80001 141831 151113 240003 305189 453339 915567 1360017 2746701 4080051 5188213 8240103 15564639 24720309 46693917 140081751 420245253