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2420680820 = 225149812309
BaseRepresentation
bin1001000001001000…
…1010100001110100
320020200221022211012
42100102022201310
514424143241240
61040111331352
7113662306325
oct22022124164
96220838735
102420680820
111032458368
12576820b58
132c7679c1c
1418d6c444c
15e27adb65
hex9048a874

2420680820 has 24 divisors (see below), whose sum is σ = 5117553000. Its totient is φ = 961772672.

The previous prime is 2420680781. The next prime is 2420680861. The reversal of 2420680820 is 280860242.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2598544 + 2418082276 = 1612^2 + 49174^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 403175 + ... + 409134.

It is an arithmetic number, because the mean of its divisors is an integer number (213231375).

Almost surely, 22420680820 is an apocalyptic number.

2420680820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420680820 is an abundant number, since it is smaller than the sum of its proper divisors (2696872180).

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

2420680820 is a wasteful number, since it uses less digits than its factorization.

2420680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812467 (or 812465 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2420680820 is about 49200.4148356495. The cubic root of 2420680820 is about 1342.7005795504.

The spelling of 2420680820 in words is "two billion, four hundred twenty million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 812309 1624618 3249236 4061545 8123090 16246180 121034041 242068082 484136164 605170205 1210340410 2420680820