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420905797 = 13291116461
BaseRepresentation
bin11001000101101…
…000001101000101
31002100000020012121
4121011220031011
51330222441142
6105433245541
713300432414
oct3105501505
91070006177
10420905797
111a6654834
12b8b638b1
13692810b0
143dc8747b
1526e42c67
hex19168345

420905797 has 8 divisors (see below), whose sum is σ = 468914040. Its totient is φ = 375130560.

The previous prime is 420905783. The next prime is 420905861. The reversal of 420905797 is 797509024.

It can be written as a sum of positive squares in 4 ways, for example, as 15729156 + 405176641 = 3966^2 + 20129^2 .

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 420905797 - 219 = 420381509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420905707) 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, 557854 + ... + 558607.

It is an arithmetic number, because the mean of its divisors is an integer number (58614255).

Almost surely, 2420905797 is an apocalyptic number.

It is an amenable number.

420905797 is a deficient number, since it is larger than the sum of its proper divisors (48008243).

420905797 is a wasteful number, since it uses less digits than its factorization.

420905797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116503.

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 420905797 is about 20515.9888136058. The cubic root of 420905797 is about 749.4252170935.

The spelling of 420905797 in words is "four hundred twenty million, nine hundred five thousand, seven hundred ninety-seven".

Divisors: 1 13 29 377 1116461 14513993 32377369 420905797