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420670677 = 37431992341
BaseRepresentation
bin11001000100101…
…110110011010101
31002022120021200110
4121010232303111
51330142430202
6105424233233
713265433060
oct3104566325
91068507613
10420670677
111a6504119
12b8a6b819
13691cb07b
143dc258d7
1526de826c
hex1912ecd5

420670677 has 32 divisors (see below), whose sum is σ = 659507200. Its totient is φ = 233513280.

The previous prime is 420670631. The next prime is 420670687. The reversal of 420670677 is 776076024.

It is a happy number.

It is not a de Polignac number, because 420670677 - 211 = 420668629 is a prime.

It is a super-3 number, since 3×4206706773 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420670687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178527 + ... + 180867.

It is an arithmetic number, because the mean of its divisors is an integer number (20609600).

Almost surely, 2420670677 is an apocalyptic number.

It is an amenable number.

420670677 is a deficient number, since it is larger than the sum of its proper divisors (238836523).

420670677 is a wasteful number, since it uses less digits than its factorization.

420670677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593.

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 420670677 is about 20510.2578482085. The cubic root of 420670677 is about 749.2856469267.

The spelling of 420670677 in words is "four hundred twenty million, six hundred seventy thousand, six hundred seventy-seven".

Divisors: 1 3 7 21 43 129 199 301 597 903 1393 2341 4179 7023 8557 16387 25671 49161 59899 100663 179697 301989 465859 704641 1397577 2113923 3261013 9783039 20031937 60095811 140223559 420670677