Search a number
-
+
2729382920 = 235116203143
BaseRepresentation
bin1010001010101111…
…0001010000001000
321001012211000111022
42202223301100020
521042210223140
61130500052012
7124431241415
oct24253612010
97035730438
102729382920
111180735870
12642094008
133466038a4
141bc6c110c
1510e93b0b5
hexa2af1408

2729382920 has 32 divisors (see below), whose sum is σ = 6699395520. Its totient is φ = 992502720.

The previous prime is 2729382917. The next prime is 2729382947. The reversal of 2729382920 is 292839272.

It is a super-2 number, since 2×27293829202 = 14899062247975452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3101132 + ... + 3102011.

It is an arithmetic number, because the mean of its divisors is an integer number (209356110).

Almost surely, 22729382920 is an apocalyptic number.

2729382920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2729382920 is an abundant number, since it is smaller than the sum of its proper divisors (3970012600).

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

2729382920 is a wasteful number, since it uses less digits than its factorization.

2729382920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203165 (or 6203161 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 2729382920 is about 52243.4964373557. The cubic root of 2729382920 is about 1397.5096748679.

The spelling of 2729382920 in words is "two billion, seven hundred twenty-nine million, three hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 6203143 12406286 24812572 31015715 49625144 62031430 68234573 124062860 136469146 248125720 272938292 341172865 545876584 682345730 1364691460 2729382920