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2041138260 = 2232574139511
BaseRepresentation
bin111100110101001…
…0100110001010100
312021020202120022100
41321222110301110
513140012411020
6534312402100
7101403250260
oct17152246124
95236676270
102041138260
11958195427
1248b6a6330
13266b4c025
141551270a0
15be2dba90
hex79a94c54

2041138260 has 144 divisors (see below), whose sum is σ = 7248713472. Its totient is φ = 455155200.

The previous prime is 2041138249. The next prime is 2041138261. The reversal of 2041138260 is 628311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041138261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31905 + ... + 71415.

It is an arithmetic number, because the mean of its divisors is an integer number (50338288).

Almost surely, 22041138260 is an apocalyptic number.

2041138260 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 2041138260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624356736).

2041138260 is an abundant number, since it is smaller than the sum of its proper divisors (5207575212).

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

2041138260 is a wasteful number, since it uses less digits than its factorization.

2041138260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39574 (or 39569 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2041138260 is about 45178.9581553183. The cubic root of 2041138260 is about 1268.5009821006.

Adding to 2041138260 its reverse (628311402), we get a palindrome (2669449662).

The spelling of 2041138260 in words is "two billion, forty-one million, one hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3444 3690 4305 5166 5740 7380 8610 10332 12915 17220 25830 39511 51660 79022 118533 158044 197555 237066 276577 355599 395110 474132 553154 592665 711198 790220 829731 1106308 1185330 1382885 1422396 1619951 1659462 1777995 2370660 2489193 2765770 3239902 3318924 3555990 4148655 4859853 4978386 5531540 6479804 7111980 8099755 8297310 9719706 9956772 11339657 12445965 14579559 16199510 16594620 19439412 22679314 24299265 24891930 29159118 32399020 34018971 45358628 48598530 49783860 56698285 58318236 68037942 72897795 97197060 102056913 113396570 136075884 145795590 170094855 204113826 226793140 291591180 340189710 408227652 510284565 680379420 1020569130 2041138260