Search a number
-
+
2315355240 = 2335113534969
BaseRepresentation
bin1000101000000001…
…1000010001101000
312222100202020021210
42022000120101220
514220212331430
61021430033120
7111243123552
oct21200302150
95870666253
102315355240
11a88a59730
125474a87a0
132ab8c03b3
1417d7084d2
15d84062b0
hex8a018468

2315355240 has 128 divisors (see below), whose sum is σ = 7600521600. Its totient is φ = 559595520.

The previous prime is 2315355221. The next prime is 2315355241. The reversal of 2315355240 is 425535132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2315355198 and 2315355207.

It is not an unprimeable number, because it can be changed into a prime (2315355241) 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, 463476 + ... + 468444.

It is an arithmetic number, because the mean of its divisors is an integer number (59379075).

Almost surely, 22315355240 is an apocalyptic number.

2315355240 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 2315355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800260800).

2315355240 is an abundant number, since it is smaller than the sum of its proper divisors (5285166360).

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

2315355240 is a wasteful number, since it uses less digits than its factorization.

2315355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2315355240 is about 48118.1383679793. The cubic root of 2315355240 is about 1322.9371465442.

The spelling of 2315355240 in words is "two billion, three hundred fifteen million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 353 440 660 706 1059 1320 1412 1765 2118 2824 3530 3883 4236 4969 5295 7060 7766 8472 9938 10590 11649 14120 14907 15532 19415 19876 21180 23298 24845 29814 31064 38830 39752 42360 46596 49690 54659 58245 59628 74535 77660 93192 99380 109318 116490 119256 149070 155320 163977 198760 218636 232980 273295 298140 327954 437272 465960 546590 596280 655908 819885 1093180 1311816 1639770 1754057 2186360 3279540 3508114 5262171 6559080 7016228 8770285 10524342 14032456 17540570 19294627 21048684 26310855 35081140 38589254 42097368 52621710 57883881 70162280 77178508 96473135 105243420 115767762 154357016 192946270 210486840 231535524 289419405 385892540 463071048 578838810 771785080 1157677620 2315355240