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2083478660 = 225165762869
BaseRepresentation
bin111110000101111…
…0101110010000100
312101012102200102022
41330023311302010
513231332304120
6542424102312
7102426163544
oct17413656204
95335380368
102083478660
1197a08439a
124a1904998
13272854c13
1415a9c9324
15c2da2025
hex7c2f5c84

2083478660 has 24 divisors (see below), whose sum is σ = 4378015320. Its totient is φ = 832875264.

The previous prime is 2083478609. The next prime is 2083478669. The reversal of 2083478660 is 668743802.

It can be written as a sum of positive squares in 4 ways, for example, as 3936256 + 2079542404 = 1984^2 + 45602^2 .

It is a super-3 number, since 3×20834786603 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2083478669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 64574.

It is an arithmetic number, because the mean of its divisors is an integer number (182417305).

Almost surely, 22083478660 is an apocalyptic number.

2083478660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2083478660 is an abundant number, since it is smaller than the sum of its proper divisors (2294536660).

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

2083478660 is a wasteful number, since it uses less digits than its factorization.

2083478660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64535 (or 64533 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 2083478660 is about 45645.1384048729. The cubic root of 2083478660 is about 1277.2120840175.

The spelling of 2083478660 in words is "two billion, eighty-three million, four hundred seventy-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 1657 3314 6628 8285 16570 33140 62869 125738 251476 314345 628690 1257380 104173933 208347866 416695732 520869665 1041739330 2083478660