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2315140560 = 243253215473
BaseRepresentation
bin1000100111111110…
…0011110111010000
312222100100022210200
42021333203313100
514220133444220
61021421255200
7111241240635
oct21177436720
95870308720
102315140560
11a88922407
12547404500
132ab846775
1417d69018c
15d83b2890
hex89fe3dd0

2315140560 has 60 divisors (see below), whose sum is σ = 7775016132. Its totient is φ = 617370624.

The previous prime is 2315140549. The next prime is 2315140561. The reversal of 2315140560 is 650415132.

It can be written as a sum of positive squares in 2 ways, for example, as 915183504 + 1399957056 = 30252^2 + 37416^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×23151405602 = 10719751625114227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315140561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1607017 + ... + 1608456.

Almost surely, 22315140560 is an apocalyptic number.

2315140560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315140560 is an abundant number, since it is smaller than the sum of its proper divisors (5459875572).

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

2315140560 is a wasteful number, since it uses less digits than its factorization.

2315140560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215492 (or 3215483 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2315140560 is about 48115.9075566491. The cubic root of 2315140560 is about 1322.8962576531.

Adding to 2315140560 its reverse (650415132), we get a palindrome (2965555692).

The spelling of 2315140560 in words is "two billion, three hundred fifteen million, one hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3215473 6430946 9646419 12861892 16077365 19292838 25723784 28939257 32154730 38585676 48232095 51447568 57878514 64309460 77171352 96464190 115757028 128618920 144696285 154342704 192928380 231514056 257237840 289392570 385856760 463028112 578785140 771713520 1157570280 2315140560