Search a number
-
+
1315162740 = 2235414312433
BaseRepresentation
bin100111001100011…
…1100101001110100
310101122201012010010
41032120330221310
510143140201430
6334300300220
744406461463
oct11630745164
93348635103
101315162740
11615414261
12308541670
1317c616708
14c694a9da
157a6d7cb0
hex4e63ca74

1315162740 has 96 divisors (see below), whose sum is σ = 3860309376. Its totient is φ = 334172160.

The previous prime is 1315162733. The next prime is 1315162769. The reversal of 1315162740 is 472615131.

1315162740 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1315162698 and 1315162707.

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, 99564 + ... + 111996.

It is an arithmetic number, because the mean of its divisors is an integer number (40211556).

Almost surely, 21315162740 is an apocalyptic number.

1315162740 is a gapful number since it is divisible by the number (10) 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 1315162740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930154688).

1315162740 is an abundant number, since it is smaller than the sum of its proper divisors (2545146636).

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

1315162740 is a wasteful number, since it uses less digits than its factorization.

1315162740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529 (or 12527 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1315162740 is about 36265.1725488795. The cubic root of 1315162740 is about 1095.6196988482.

Adding to 1315162740 its reverse (472615131), we get a palindrome (1787777871).

The spelling of 1315162740 in words is "one billion, three hundred fifteen million, one hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 43 60 82 86 123 129 164 172 205 215 246 258 410 430 492 516 615 645 820 860 1230 1290 1763 2460 2580 3526 5289 7052 8815 10578 12433 17630 21156 24866 26445 35260 37299 49732 52890 62165 74598 105780 124330 149196 186495 248660 372990 509753 534619 745980 1019506 1069238 1529259 1603857 2039012 2138476 2548765 2673095 3058518 3207714 5097530 5346190 6117036 6415428 7646295 8019285 10195060 10692380 15292590 16038570 21919379 30585180 32077140 43838758 65758137 87677516 109596895 131516274 219193790 263032548 328790685 438387580 657581370 1315162740