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2040646420 = 2256110116561
BaseRepresentation
bin111100110100001…
…1100101100010100
312021012211120122001
41321220130230110
513134401141140
6534254045044
7101366131321
oct17150345424
95235746561
102040646420
1195798994a
1248b4a9784
13266a091b7
14155039b48
15be240e9a
hex79a1cb14

2040646420 has 48 divisors (see below), whose sum is σ = 4398999696. Its totient is φ = 794880000.

The previous prime is 2040646397. The next prime is 2040646427. The reversal of 2040646420 is 246460402.

It can be written as a sum of positive squares in 8 ways, for example, as 264192516 + 1776453904 = 16254^2 + 42148^2 .

It is a super-2 number, since 2×20406464202 = 8328475622917632800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040646427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114940 + ... + 131500.

It is an arithmetic number, because the mean of its divisors is an integer number (91645827).

Almost surely, 22040646420 is an apocalyptic number.

2040646420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040646420 is an abundant number, since it is smaller than the sum of its proper divisors (2358353276).

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

2040646420 is a wasteful number, since it uses less digits than its factorization.

2040646420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16732 (or 16730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2040646420 is about 45173.5145854294. The cubic root of 2040646420 is about 1268.3990863995.

The spelling of 2040646420 in words is "two billion, forty million, six hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 101 122 202 244 305 404 505 610 1010 1220 2020 6161 12322 16561 24644 30805 33122 61610 66244 82805 123220 165610 331220 1010221 1672661 2020442 3345322 4040884 5051105 6690644 8363305 10102210 16726610 20204420 33453220 102032321 204064642 408129284 510161605 1020323210 2040646420