Search a number
-
+
2315117140 = 2257611731567
BaseRepresentation
bin1000100111111101…
…1110001001010100
312222100022010200021
42021333132021110
514220132222030
61021420554524
7111241112440
oct21177361124
95870263607
102315117140
11a88906856
125473b2a44
132ab838bcb
1417d685820
15d83aa97a
hex89fde254

2315117140 has 96 divisors (see below), whose sum is σ = 5683636224. Its totient is φ = 775733760.

The previous prime is 2315117099. The next prime is 2315117173. The reversal of 2315117140 is 417115132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476637 + ... + 1478203.

It is an arithmetic number, because the mean of its divisors is an integer number (59204544).

Almost surely, 22315117140 is an apocalyptic number.

2315117140 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 2315117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841818112).

2315117140 is an abundant number, since it is smaller than the sum of its proper divisors (3368519084).

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

2315117140 is a wasteful number, since it uses less digits than its factorization.

2315117140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 2315117140 is about 48115.6641853773. The cubic root of 2315117140 is about 1322.8917968246.

The spelling of 2315117140 in words is "two billion, three hundred fifteen million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 173 244 305 346 427 610 692 854 865 1211 1220 1567 1708 1730 2135 2422 3134 3460 4270 4844 6055 6268 7835 8540 10553 10969 12110 15670 21106 21938 24220 31340 42212 43876 52765 54845 73871 95587 105530 109690 147742 191174 211060 219380 271091 295484 369355 382348 477935 542182 669109 738710 955870 1084364 1338218 1355455 1477420 1897637 1911740 2676436 2710910 3345545 3795274 5421820 6691090 7590548 9488185 13382180 16536551 18976370 33073102 37952740 66146204 82682755 115755857 165365510 231511714 330731020 463023428 578779285 1157558570 2315117140