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420690440 = 23510517261
BaseRepresentation
bin11001000100110…
…011101000001000
31002022121021210102
4121010303220020
51330144043230
6105424504532
713265544512
oct3104635010
91068537712
10420690440
111a6517a55
12b8a7b148
1369207071
143dc2cbb2
1526dee045
hex19133a08

420690440 has 16 divisors (see below), whose sum is σ = 946553580. Its totient is φ = 168276160.

The previous prime is 420690437. The next prime is 420690461. The reversal of 420690440 is 44096024.

It can be written as a sum of positive squares in 2 ways, for example, as 403929604 + 16760836 = 20098^2 + 4094^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5258591 + ... + 5258670.

Almost surely, 2420690440 is an apocalyptic number.

420690440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420690440 is an abundant number, since it is smaller than the sum of its proper divisors (525863140).

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

420690440 is a wasteful number, since it uses less digits than its factorization.

420690440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10517272 (or 10517268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 420690440 is about 20510.7396258643. The cubic root of 420690440 is about 749.2973804918.

The spelling of 420690440 in words is "four hundred twenty million, six hundred ninety thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10517261 21034522 42069044 52586305 84138088 105172610 210345220 420690440