Search a number
-
+
2660581640 = 235472635381
BaseRepresentation
bin1001111010010101…
…0100000100001000
320212102100112212202
42132211110010020
520422102103030
61120001255332
7122634366533
oct23645240410
96772315782
102660581640
111145913402
12623034548
13335294882
141b34d1a1a
1510889a745
hex9e954108

2660581640 has 64 divisors (see below), whose sum is σ = 6138063360. Its totient is φ = 1037436160.

The previous prime is 2660581639. The next prime is 2660581657. The reversal of 2660581640 is 461850662.

It is a junction number, because it is equal to n+sod(n) for n = 2660581594 and 2660581603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491750 + ... + 497130.

It is an arithmetic number, because the mean of its divisors is an integer number (95907240).

Almost surely, 22660581640 is an apocalyptic number.

2660581640 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 2660581640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069031680).

2660581640 is an abundant number, since it is smaller than the sum of its proper divisors (3477481720).

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

2660581640 is a wasteful number, since it uses less digits than its factorization.

2660581640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2660581640 is about 51580.8262826411. The cubic root of 2660581640 is about 1385.6669649257. Note that the first 3 decimals are identical.

The spelling of 2660581640 in words is "two billion, six hundred sixty million, five hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 263 376 470 526 940 1052 1315 1880 2104 2630 5260 5381 10520 10762 12361 21524 24722 26905 43048 49444 53810 61805 98888 107620 123610 215240 247220 252907 494440 505814 1011628 1264535 1415203 2023256 2529070 2830406 5058140 5660812 7076015 10116280 11321624 14152030 28304060 56608120 66514541 133029082 266058164 332572705 532116328 665145410 1330290820 2660581640