Search a number
-
+
2720732248 = 2313376167173
BaseRepresentation
bin1010001000101011…
…0001010001011000
321000121112112000001
42202022301101120
521033001412443
61125550422344
7124264561663
oct24212612130
97017475001
102720732248
111176867453
1263b2019b4
13344895250
141bb4ac6da
1510dcccd4d
hexa22b1458

2720732248 has 128 divisors (see below), whose sum is σ = 5854000320. Its totient is φ = 1176975360.

The previous prime is 2720732233. The next prime is 2720732291. The reversal of 2720732248 is 8422370272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 15726690 + ... + 15726862.

Almost surely, 22720732248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720732248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927000160).

2720732248 is an abundant number, since it is smaller than the sum of its proper divisors (3133268072).

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

2720732248 is a wasteful number, since it uses less digits than its factorization.

2720732248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The square root of 2720732248 is about 52160.6388764555. The cubic root of 2720732248 is about 1396.0316615835.

The spelling of 2720732248 in words is "two billion, seven hundred twenty million, seven hundred thirty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 37 52 61 67 74 104 122 134 148 173 244 268 296 346 481 488 536 692 793 871 962 1384 1586 1742 1924 2249 2257 2479 3172 3484 3848 4087 4498 4514 4958 6344 6401 6968 8174 8996 9028 9916 10553 11591 12802 16348 17992 18056 19832 21106 23182 25604 29341 32227 32696 42212 46364 51208 53131 58682 64454 83213 84424 92728 106262 117364 128908 137189 150683 151219 166426 212524 234728 257816 274378 301366 302438 332852 390461 425048 428867 548756 602732 604876 665704 707051 780922 857734 1097512 1205464 1209752 1414102 1561844 1715468 1965847 2828204 3123688 3430936 3931694 5075993 5575271 5656408 7863388 9191663 10151986 11150542 15726776 18383326 20303972 22301084 26160887 36766652 40607944 44602168 52321774 73533304 104643548 209287096 340091531 680183062 1360366124 2720732248