Search a number
-
+
2773414140 = 2235712775171
BaseRepresentation
bin1010010101001110…
…1111000011111100
321011021200000222020
42211103233003330
521134443223030
61135111520140
7125504426340
oct24523570374
97137600866
102773414140
1111a357a102
12654989050
1335277c273
141c44a3620
15113737510
hexa54ef0fc

2773414140 has 96 divisors (see below), whose sum is σ = 8883592704. Its totient is φ = 633304320.

The previous prime is 2773414139. The next prime is 2773414151. The reversal of 2773414140 is 414143772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533755 + ... + 538925.

It is an arithmetic number, because the mean of its divisors is an integer number (92537424).

Almost surely, 22773414140 is an apocalyptic number.

2773414140 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 2773414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441796352).

2773414140 is an abundant number, since it is smaller than the sum of its proper divisors (6110178564).

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

2773414140 is a wasteful number, since it uses less digits than its factorization.

2773414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2773414140 is about 52663.2142961289. The cubic root of 2773414140 is about 1404.9846361292.

The spelling of 2773414140 in words is "two billion, seven hundred seventy-three million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1277 2554 3831 5108 5171 6385 7662 8939 10342 12770 15324 15513 17878 19155 20684 25540 25855 26817 31026 35756 36197 38310 44695 51710 53634 62052 72394 76620 77565 89390 103420 107268 108591 134085 144788 155130 178780 180985 217182 268170 310260 361970 434364 536340 542955 723940 1085910 2171820 6603367 13206734 19810101 26413468 33016835 39620202 46223569 66033670 79240404 92447138 99050505 132067340 138670707 184894276 198101010 231117845 277341414 396202020 462235690 554682828 693353535 924471380 1386707070 2773414140