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420002613 = 3258218017
BaseRepresentation
bin11001000010001…
…011101100110101
31002021022100021100
4121002023230311
51330010040423
6105402040313
713256651262
oct3102135465
91067270240
10420002613
111a60981a8
12b87a9099
1369025c74
143dad0269
1526d15343
hex1908bb35

420002613 has 12 divisors (see below), whose sum is σ = 606850348. Its totient is φ = 279918720.

The previous prime is 420002603. The next prime is 420002623. The reversal of 420002613 is 316200024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420002603) and next prime (420002623).

It can be written as a sum of positive squares in 2 ways, for example, as 309689604 + 110313009 = 17598^2 + 10503^2 .

It is not a de Polignac number, because 420002613 - 26 = 420002549 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420002603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48381 + ... + 56397.

Almost surely, 2420002613 is an apocalyptic number.

It is an amenable number.

420002613 is a deficient number, since it is larger than the sum of its proper divisors (186847735).

420002613 is a wasteful number, since it uses less digits than its factorization.

420002613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420002613 is about 20493.9652824923. The cubic root of 420002613 is about 748.8887917681. Note that the first 3 decimals are identical.

Adding to 420002613 its reverse (316200024), we get a palindrome (736202637).

The spelling of 420002613 in words is "four hundred twenty million, two thousand, six hundred thirteen".

Divisors: 1 3 9 5821 8017 17463 24051 52389 72153 46666957 140000871 420002613