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1828206140 = 225834612389
BaseRepresentation
bin110110011111000…
…0011011000111100
311201102002111100112
41230332003120330
512221010044030
6501224445152
763206332025
oct15476033074
94642074315
101828206140
11858a7a372
124303197b8
132319b76a7
14134b39c4c
15aa77aa95
hex6cf8363c

1828206140 has 48 divisors (see below), whose sum is σ = 3895547040. Its totient is φ = 720602880.

The previous prime is 1828206089. The next prime is 1828206143. The reversal of 1828206140 is 416028281.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1828206097 and 1828206106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828206143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764066 + ... + 766454.

It is an arithmetic number, because the mean of its divisors is an integer number (81157230).

Almost surely, 21828206140 is an apocalyptic number.

1828206140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828206140 is an abundant number, since it is smaller than the sum of its proper divisors (2067340900).

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

1828206140 is a wasteful number, since it uses less digits than its factorization.

1828206140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 1828206140 is about 42757.5272905251. The cubic root of 1828206140 is about 1222.7614015507.

The spelling of 1828206140 in words is "one billion, eight hundred twenty-eight million, two hundred six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 83 166 332 415 461 830 922 1660 1844 2305 2389 4610 4778 9220 9556 11945 23890 38263 47780 76526 153052 191315 198287 382630 396574 765260 793148 991435 1101329 1982870 2202658 3965740 4405316 5506645 11013290 22026580 91410307 182820614 365641228 457051535 914103070 1828206140