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420135 = 3537757
BaseRepresentation
bin1100110100100100111
3210100022120
41212210213
5101421020
613001023
73366612
oct1464447
9710276
10420135
11267721
12183173
13119301
14ad179
1584740
hex66927

420135 has 16 divisors (see below), whose sum is σ = 691296. Its totient is φ = 217728.

The previous prime is 420103. The next prime is 420149. The reversal of 420135 is 531024.

It is not a de Polignac number, because 420135 - 25 = 420103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (43206).

2420135 is an apocalyptic number.

420135 is a deficient number, since it is larger than the sum of its proper divisors (271161).

420135 is a wasteful number, since it uses less digits than its factorization.

420135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 420135 is about 648.1782162338. The cubic root of 420135 is about 74.8967468045.

Adding to 420135 its reverse (531024), we get a palindrome (951159).

Subtracting 420135 from its reverse (531024), we obtain a square (110889 = 3332).

It can be divided in two parts, 420 and 135, that added together give a palindrome (555).

The spelling of 420135 in words is "four hundred twenty thousand, one hundred thirty-five".

Divisors: 1 3 5 15 37 111 185 555 757 2271 3785 11355 28009 84027 140045 420135