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6402420 = 2232535569
BaseRepresentation
bin11000011011000101110100
3110001021110200
4120123011310
53114334140
6345120500
7105263643
oct30330564
913037420
106402420
113683262
122189130
13143221b
14bc935a
15867030
hex61b174

6402420 has 36 divisors (see below), whose sum is σ = 19421220. Its totient is φ = 1707264.

The previous prime is 6402413. The next prime is 6402433. The reversal of 6402420 is 242046.

6402420 is a `hidden beast` number, since 640 + 2 + 4 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4691556 + 1710864 = 2166^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6402393 and 6402402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17605 + ... + 17964.

Almost surely, 26402420 is an apocalyptic number.

6402420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6402420 is an abundant number, since it is smaller than the sum of its proper divisors (13018800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6402420 is a wasteful number, since it uses less digits than its factorization.

6402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35584 (or 35579 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 6402420 is about 2530.3003774256. The cubic root of 6402420 is about 185.6869517393.

Adding to 6402420 its reverse (242046), we get a palindrome (6644466).

The spelling of 6402420 in words is "six million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 35569 71138 106707 142276 177845 213414 320121 355690 426828 533535 640242 711380 1067070 1280484 1600605 2134140 3201210 6402420