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2313604540 = 22513191034547
BaseRepresentation
bin1000100111100110…
…1100110110111100
312222020110021210001
42021321230312330
514214240321130
61021324324044
7111222212512
oct21171546674
95866407701
102313604540
11a87a73375
125469a3624
132ab429590
1417d3b04b2
15d81ac6ca
hex89e6cdbc

2313604540 has 96 divisors (see below), whose sum is σ = 5562385920. Its totient is φ = 801259776.

The previous prime is 2313604519. The next prime is 2313604541. The reversal of 2313604540 is 454063132.

It is a super-2 number, since 2×23136045402 = 10705531935017223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2313604499 and 2313604508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313604541) 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, 506547 + ... + 511093.

It is an arithmetic number, because the mean of its divisors is an integer number (57941520).

Almost surely, 22313604540 is an apocalyptic number.

2313604540 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 2313604540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781192960).

2313604540 is an abundant number, since it is smaller than the sum of its proper divisors (3248781380).

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

2313604540 is a wasteful number, since it uses less digits than its factorization.

2313604540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2313604540 is about 48099.9432432098. The cubic root of 2313604540 is about 1322.6036268012.

Adding to 2313604540 its reverse (454063132), we get a palindrome (2767667672).

The spelling of 2313604540 in words is "two billion, three hundred thirteen million, six hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 103 130 190 206 247 260 380 412 494 515 988 1030 1235 1339 1957 2060 2470 2678 3914 4547 4940 5356 6695 7828 9094 9785 13390 18188 19570 22735 25441 26780 39140 45470 50882 59111 86393 90940 101764 118222 127205 172786 236444 254410 295555 345572 431965 468341 508820 591110 863930 936682 1123109 1182220 1727860 1873364 2246218 2341705 4492436 4683410 5615545 6088433 8898479 9366820 11231090 12176866 17796958 22462180 24353732 30442165 35593916 44492395 60884330 88984790 115680227 121768660 177969580 231360454 462720908 578401135 1156802270 2313604540