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420414652 = 22715014809
BaseRepresentation
bin11001000011110…
…000010010111100
31002022002021111001
4121003300102330
51330111232102
6105414540044
713263315460
oct3103602274
91068067431
10420414652
111a6349829
12b8967624
136913b688
143db9a4a0
1526d97487
hex190f04bc

420414652 has 12 divisors (see below), whose sum is σ = 840829360. Its totient is φ = 180177696.

The previous prime is 420414611. The next prime is 420414667. The reversal of 420414652 is 256414024.

420414652 is an admirable number.

It is a super-2 number, since 2×4204146522 = 353496959232562208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 15014809 = 420414652 / (4 + 2 + 0 + 4 + 1 + 4 + 6 + 5 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 420414652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7507377 + ... + 7507432.

Almost surely, 2420414652 is an apocalyptic number.

It is an amenable number.

420414652 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

420414652 is a wasteful number, since it uses less digits than its factorization.

420414652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014820 (or 15014818 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 420414652 is about 20504.0155091631. The cubic root of 420414652 is about 749.1336081315.

Adding to 420414652 its reverse (256414024), we get a palindrome (676828676).

The spelling of 420414652 in words is "four hundred twenty million, four hundred fourteen thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 15014809 30029618 60059236 105103663 210207326 420414652