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420202116 = 223218016481
BaseRepresentation
bin11001000010111…
…100011010000100
31002021200110221100
4121002330122010
51330032431431
6105410220100
713261442025
oct3102743204
91067613840
10420202116
111a6214084
12b8884630
1369095a09
143db42c4c
1526d544e6
hex190bc684

420202116 has 36 divisors (see below), whose sum is σ = 1062931324. Its totient is φ = 139968000.

The previous prime is 420202103. The next prime is 420202121. The reversal of 420202116 is 611202024.

It can be written as a sum of positive squares in 2 ways, for example, as 240374016 + 179828100 = 15504^2 + 13410^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61596 + ... + 68076.

Almost surely, 2420202116 is an apocalyptic number.

It is an amenable number.

420202116 is an abundant number, since it is smaller than the sum of its proper divisors (642729208).

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

420202116 is a wasteful number, since it uses less digits than its factorization.

420202116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420202116 is about 20498.8320642909. The cubic root of 420202116 is about 749.0073481026.

The spelling of 420202116 in words is "four hundred twenty million, two hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1801 3602 5403 6481 7204 10806 12962 16209 19443 21612 25924 32418 38886 58329 64836 77772 116658 233316 11672281 23344562 35016843 46689124 70033686 105050529 140067372 210101058 420202116