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420402133 = 2332816421
BaseRepresentation
bin11001000011101…
…101001111010101
31002022001122022101
4121003231033111
51330110332013
6105414402101
713263234124
oct3103551725
91068048271
10420402133
111a6340388
12b8960331
1369135a78
143db95abb
1526d938dd
hex190ed3d5

420402133 has 8 divisors (see below), whose sum is σ = 423774936. Its totient is φ = 417043200.

The previous prime is 420402121. The next prime is 420402139. The reversal of 420402133 is 331204024.

It can be written as a sum of positive squares in 4 ways, for example, as 17918289 + 402483844 = 4233^2 + 20062^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420402133 - 29 = 420401621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420402133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420402139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62263 + ... + 68683.

It is an arithmetic number, because the mean of its divisors is an integer number (52971867).

Almost surely, 2420402133 is an apocalyptic number.

It is an amenable number.

420402133 is a deficient number, since it is larger than the sum of its proper divisors (3372803).

420402133 is a wasteful number, since it uses less digits than its factorization.

420402133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6935.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 420402133 is about 20503.7102252251. The cubic root of 420402133 is about 749.1261722213.

Adding to 420402133 its reverse (331204024), we get a palindrome (751606157).

The spelling of 420402133 in words is "four hundred twenty million, four hundred two thousand, one hundred thirty-three".

Divisors: 1 233 281 6421 65473 1496093 1804301 420402133