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420834645 = 325711121453
BaseRepresentation
bin11001000101010…
…110110101010101
31002022212121121100
4121011112311111
51330213202040
6105431540313
713300015110
oct3105266525
91068777540
10420834645
111a6606330
12b8b2a699
13692578aa
143dc69577
1526e2bb30
hex19156d55

420834645 has 48 divisors (see below), whose sum is σ = 909447552. Its totient is φ = 174890880.

The previous prime is 420834637. The next prime is 420834649. The reversal of 420834645 is 546438024.

420834645 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 3 + 4 + 645 = 666.

It is not a de Polignac number, because 420834645 - 23 = 420834637 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420834649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57262 + ... + 64191.

It is an arithmetic number, because the mean of its divisors is an integer number (18946824).

Almost surely, 2420834645 is an apocalyptic number.

420834645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420834645 is an abundant number, since it is smaller than the sum of its proper divisors (488612907).

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

420834645 is a wasteful number, since it uses less digits than its factorization.

420834645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121482 (or 121479 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 420834645 is about 20514.2546781500. The cubic root of 420834645 is about 749.3829858639.

The spelling of 420834645 in words is "four hundred twenty million, eight hundred thirty-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 121453 364359 607265 850171 1093077 1335983 1821795 2550513 4007949 4250855 5465385 6679915 7651539 9351881 12023847 12752565 20039745 28055643 38257695 46759405 60119235 84166929 140278215 420834645