Search a number
-
+
2413140340 = 2251367831669
BaseRepresentation
bin1000111111010101…
…1001100101110100
320020011202020020011
42033311121211310
514420230442330
61035241550004
7113541232402
oct21765314564
96204666204
102413140340
111029178066
125741a5304
132c5c399c0
1418c6c0472
15e1cbe82a
hex8fd59974

2413140340 has 96 divisors (see below), whose sum is σ = 5608955520. Its totient is φ = 866612736.

The previous prime is 2413140337. The next prime is 2413140343. The reversal of 2413140340 is 430413142.

It is an interprime number because it is at equal distance from previous prime (2413140337) and next prime (2413140343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413140343) 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, 1445026 + ... + 1446694.

It is an arithmetic number, because the mean of its divisors is an integer number (58426620).

Almost surely, 22413140340 is an apocalyptic number.

2413140340 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 2413140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804477760).

2413140340 is an abundant number, since it is smaller than the sum of its proper divisors (3195815180).

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

2413140340 is a wasteful number, since it uses less digits than its factorization.

2413140340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2413140340 is about 49123.7248180551. The cubic root of 2413140340 is about 1341.3049476807.

Adding to 2413140340 its reverse (430413142), we get a palindrome (2843553482).

The spelling of 2413140340 in words is "two billion, four hundred thirteen million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 83 130 134 166 260 268 332 335 415 670 830 871 1079 1340 1660 1669 1742 2158 3338 3484 4316 4355 5395 5561 6676 8345 8710 10790 11122 16690 17420 21580 21697 22244 27805 33380 43394 55610 72293 86788 108485 111220 111823 138527 144586 216970 223646 277054 289172 361465 433940 447292 554108 559115 692635 722930 1118230 1385270 1445860 1453699 1800851 2236460 2770540 2907398 3601702 5814796 7203404 7268495 9004255 9281309 14536990 18008510 18562618 29073980 36017020 37125236 46406545 92813090 120657017 185626180 241314034 482628068 603285085 1206570170 2413140340