Search a number
-
+
2099660140 = 2251724759131
BaseRepresentation
bin111110100100110…
…0100010101101100
312102022212210020101
41331021210111230
513300003111030
6544203000444
7103013550064
oct17511442554
95368783211
102099660140
11988226816
124a7209124
13275ccc266
1415cbdc3a4
15c44eb7ca
hex7d26456c

2099660140 has 144 divisors (see below), whose sum is σ = 4901783040. Its totient is φ = 754723840.

The previous prime is 2099660131. The next prime is 2099660149. The reversal of 2099660140 is 410669902.

It is an interprime number because it is at equal distance from previous prime (2099660131) and next prime (2099660149).

It is a self number, because there is not a number n which added to its sum of digits gives 2099660140.

It is not an unprimeable number, because it can be changed into a prime (2099660149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16027875 + ... + 16028005.

It is an arithmetic number, because the mean of its divisors is an integer number (34040160).

Almost surely, 22099660140 is an apocalyptic number.

2099660140 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 2099660140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450891520).

2099660140 is an abundant number, since it is smaller than the sum of its proper divisors (2802122900).

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

2099660140 is a wasteful number, since it uses less digits than its factorization.

2099660140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2099660140 is about 45822.0486229064. The cubic root of 2099660140 is about 1280.5100790962.

The spelling of 2099660140 in words is "two billion, ninety-nine million, six hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 59 68 85 94 118 131 170 188 235 236 262 289 295 340 470 524 578 590 655 799 940 1003 1156 1180 1310 1445 1598 2006 2227 2620 2773 2890 3196 3995 4012 4454 5015 5546 5780 6157 7729 7990 8908 10030 11092 11135 12314 13583 13865 15458 15980 17051 20060 22270 24628 27166 27730 30785 30916 34102 37859 38645 44540 47141 54332 55460 61570 67915 68204 75718 77290 85255 94282 104669 123140 131393 135830 151436 154580 170510 188564 189295 209338 235705 262786 271660 341020 363263 378590 418676 471410 523345 525572 656965 726526 757180 801397 942820 1046690 1313930 1453052 1602794 1779373 1816315 2093380 2233681 2627860 3205588 3558746 3632630 4006985 4467362 6175471 7117492 7265260 8013970 8896865 8934724 11168405 12350942 16027940 17793730 22336810 24701884 30877355 35587460 44673620 61754710 104983007 123509420 209966014 419932028 524915035 1049830070 2099660140