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2315630640 = 243540124061
BaseRepresentation
bin1000101000000101…
…1011100000110000
312222101021020001210
42022001123200300
514220300140030
61021440000120
7111245351511
oct21201334060
95871236053
102315630640
11a89127634
12547600040
132ab98885b
1417d77aa08
15d845cbb0
hex8a05b830

2315630640 has 80 divisors (see below), whose sum is σ = 7196655456. Its totient is φ = 615936000.

The previous prime is 2315630623. The next prime is 2315630659. The reversal of 2315630640 is 460365132.

It is a Cunningham number, because it is equal to 481212-1.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2315630598 and 2315630607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84210 + ... + 108270.

Almost surely, 22315630640 is an apocalyptic number.

2315630640 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 2315630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598327728).

2315630640 is an abundant number, since it is smaller than the sum of its proper divisors (4881024816).

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

2315630640 is a wasteful number, since it uses less digits than its factorization.

2315630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24478 (or 24472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2315630640 is about 48120.9999896095. Note that the first 4 decimals coincide. The cubic root of 2315630640 is about 1322.9895967311.

Adding to 2315630640 its reverse (460365132), we get a palindrome (2775995772).

The spelling of 2315630640 in words is "two billion, three hundred fifteen million, six hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 24061 32080 48120 48122 72183 96240 96244 120305 144366 192488 240610 288732 360915 384976 481220 577464 721830 962440 1154928 1443660 1924880 2887320 5774640 9648461 19296922 28945383 38593844 48242305 57890766 77187688 96484610 115781532 144726915 154375376 192969220 231563064 289453830 385938440 463126128 578907660 771876880 1157815320 2315630640