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2083405780 = 2252310144843
BaseRepresentation
bin111110000101110…
…0011111111010100
312101012021222110001
41330023203333110
513231322441110
6542422341044
7102425441221
oct17413437724
95335258401
102083405780
1197a034665
124a188a784
1327282a9b1
1415a9aa948
15c2d8a63a
hex7c2e3fd4

2083405780 has 48 divisors (see below), whose sum is σ = 4610680704. Its totient is φ = 789219200.

The previous prime is 2083405721. The next prime is 2083405783. The reversal of 2083405780 is 875043802.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083405783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24039 + ... + 68881.

It is an arithmetic number, because the mean of its divisors is an integer number (96055848).

Almost surely, 22083405780 is an apocalyptic number.

2083405780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083405780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305340352).

2083405780 is an abundant number, since it is smaller than the sum of its proper divisors (2527274924).

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

2083405780 is a wasteful number, since it uses less digits than its factorization.

2083405780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44976 (or 44974 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2083405780 is about 45644.3400653356. The cubic root of 2083405780 is about 1277.1971915681.

The spelling of 2083405780 in words is "two billion, eighty-three million, four hundred five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4646 9292 11615 23230 44843 46460 89686 179372 224215 448430 896860 1031389 2062778 4125556 4529143 5156945 9058286 10313890 18116572 20627780 22645715 45291430 90582860 104170289 208340578 416681156 520851445 1041702890 2083405780