Search a number
-
+
2115055140 = 22351110131729
BaseRepresentation
bin111111000010001…
…0010111000100100
312110101211221012120
41332010102320210
513312423231030
6545512545540
7103261446342
oct17604227044
95411757176
102115055140
11995991260
124b03b22b0
1327925c623
14160c88992
15c5a3d010
hex7e112e24

2115055140 has 96 divisors (see below), whose sum is σ = 6524703360. Its totient is φ = 507648000.

The previous prime is 2115055133. The next prime is 2115055141. The reversal of 2115055140 is 415505112.

It is a self number, because there is not a number n which added to its sum of digits gives 2115055140.

It is not an unprimeable number, because it can be changed into a prime (2115055141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50796 + ... + 82524.

It is an arithmetic number, because the mean of its divisors is an integer number (67965660).

Almost surely, 22115055140 is an apocalyptic number.

2115055140 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 2115055140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262351680).

2115055140 is an abundant number, since it is smaller than the sum of its proper divisors (4409648220).

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

2115055140 is a wasteful number, since it uses less digits than its factorization.

2115055140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31853 (or 31851 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 2115055140 is about 45989.7286358596. The cubic root of 2115055140 is about 1283.6320871149.

The spelling of 2115055140 in words is "two billion, one hundred fifteen million, fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 31729 33330 63458 66660 95187 126916 158645 190374 317290 349019 380748 475935 634580 698038 951870 1047057 1396076 1745095 1903740 2094114 3204629 3490190 4188228 5235285 6409258 6980380 9613887 10470570 12818516 16023145 19227774 20941140 32046290 35250919 38455548 48069435 64092580 70501838 96138870 105752757 141003676 176254595 192277740 211505514 352509190 423011028 528763785 705018380 1057527570 2115055140