Search a number
-
+
2730798940 = 2251921792113
BaseRepresentation
bin1010001011000100…
…1010111101011100
321001022110221220111
42202301022331130
521043041031230
61130550255404
7124446256642
oct24261127534
97038427814
102730798940
111181512731
12642657564
133469ab27c
141bc96d192
1510eb1a92a
hexa2c4af5c

2730798940 has 72 divisors (see below), whose sum is σ = 6089081040. Its totient is φ = 1028560896.

The previous prime is 2730798937. The next prime is 2730798953. The reversal of 2730798940 is 498970372.

2730798940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1291324 + ... + 1293436.

It is an arithmetic number, because the mean of its divisors is an integer number (84570570).

Almost surely, 22730798940 is an apocalyptic number.

2730798940 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 2730798940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044540520).

2730798940 is an abundant number, since it is smaller than the sum of its proper divisors (3358282100).

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

2730798940 is a wasteful number, since it uses less digits than its factorization.

2730798940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 2730798940 is about 52257.0467975373. The cubic root of 2730798940 is about 1397.7513118465.

The spelling of 2730798940 in words is "two billion, seven hundred thirty million, seven hundred ninety-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 179 190 358 361 380 716 722 895 1444 1790 1805 2113 3401 3580 3610 4226 6802 7220 8452 10565 13604 17005 21130 34010 40147 42260 64619 68020 80294 129238 160588 200735 258476 323095 378227 401470 646190 756454 762793 802940 1292380 1512908 1525586 1891135 3051172 3782270 3813965 7186313 7564540 7627930 14372626 15255860 28745252 35931565 71863130 136539947 143726260 273079894 546159788 682699735 1365399470 2730798940