Search a number
-
+
13741103060 = 22517299411481
BaseRepresentation
bin11001100110000100…
…01001011111010100
31022110122022100201222
430303002021133110
5211120210244220
610151303305512
7664342306646
oct146302113724
938418270658
1013741103060
115911549123
1227b5a4b298
1313acaa2a19
14944d62896
15556542e25
hex3330897d4

13741103060 has 96 divisors (see below), whose sum is σ = 31662277920. Its totient is φ = 4986060800.

The previous prime is 13741103041. The next prime is 13741103063. The reversal of 13741103060 is 6030114731.

It can be written as a sum of positive squares in 16 ways, for example, as 1043419204 + 12697683856 = 32302^2 + 112684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13741103063) 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, 9277520 + ... + 9279000.

It is an arithmetic number, because the mean of its divisors is an integer number (329815395).

Almost surely, 213741103060 is an apocalyptic number.

13741103060 is a gapful number since it is divisible by the number (10) 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 13741103060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15831138960).

13741103060 is an abundant number, since it is smaller than the sum of its proper divisors (17921174860).

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

13741103060 is a wasteful number, since it uses less digits than its factorization.

13741103060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 13741103060 its reverse (6030114731), we get a palindrome (19771217791).

The spelling of 13741103060 in words is "thirteen billion, seven hundred forty-one million, one hundred three thousand, sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 941 986 1481 1882 1972 2465 2962 3764 4705 4930 5924 7405 9410 9860 14810 15997 18820 25177 27289 29620 31994 42949 50354 54578 63988 79985 85898 100708 109156 125885 136445 159970 171796 214745 251770 272890 319940 429490 463913 503540 545780 730133 858980 927826 1393621 1460266 1855652 2319565 2787242 2920532 3650665 4639130 5574484 6968105 7301330 9278260 13936210 14602660 23691557 27872420 40415009 47383114 80830018 94766228 118457785 161660036 202075045 236915570 404150090 473831140 687055153 808300180 1374110306 2748220612 3435275765 6870551530 13741103060