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1820420420 = 2257131000231
BaseRepresentation
bin110110010000001…
…0110100101000100
311200212102221100112
41230200112211010
512212011423140
6500345532152
763053214110
oct15440264504
94625387315
101820420420
11854641895
124297a4058
132301bc960
14133ab0740
15a9c3dc65
hex6c816944

1820420420 has 48 divisors (see below), whose sum is σ = 4705091328. Its totient is φ = 576132480.

The previous prime is 1820420383. The next prime is 1820420429. The reversal of 1820420420 is 240240281.

It is a happy number.

1820420420 is a modest number, since divided by 420420 gives 1820 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1820420429) 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, 498296 + ... + 501935.

It is an arithmetic number, because the mean of its divisors is an integer number (98022736).

Almost surely, 21820420420 is an apocalyptic number.

1820420420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1820420420 is an abundant number, since it is smaller than the sum of its proper divisors (2884670908).

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

1820420420 is a wasteful number, since it uses less digits than its factorization.

1820420420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000260 (or 1000258 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 1820420420 is about 42666.3851292795. The cubic root of 1820420420 is about 1221.0231540534.

The spelling of 1820420420 in words is "one billion, eight hundred twenty million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 1000231 2000462 4000924 5001155 7001617 10002310 13003003 14003234 20004620 26006006 28006468 35008085 52012012 65015015 70016170 91021021 130030030 140032340 182042042 260060060 364084084 455105105 910210210 1820420420