Search a number
-
+
6013121660 = 22571325113163
BaseRepresentation
bin1011001100110100…
…01111010001111100
3120112001202020012122
411212122033101330
544303324343120
62432402022112
7302003455640
oct54632172174
916461666178
106013121660
112606283337
1211b9947938
1374aa11470
14410866c20
15252d7aa25
hex16668f47c

6013121660 has 96 divisors (see below), whose sum is σ = 15604710912. Its totient is φ = 1895328000.

The previous prime is 6013121657. The next prime is 6013121669. The reversal of 6013121660 is 661213106.

It is a super-2 number, since 2×60131216602 = 72315264195922311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6013121669) 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, 450239 + ... + 463401.

It is an arithmetic number, because the mean of its divisors is an integer number (162549072).

Almost surely, 26013121660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6013121660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802355456).

6013121660 is an abundant number, since it is smaller than the sum of its proper divisors (9591589252).

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

6013121660 is a wasteful number, since it uses less digits than its factorization.

6013121660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13443 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6013121660 is about 77544.3206173089. The cubic root of 6013121660 is about 1818.4442749501. Note that the first 3 decimals are identical.

Adding to 6013121660 its reverse (661213106), we get a palindrome (6674334766).

The spelling of 6013121660 in words is "six billion, thirteen million, one hundred twenty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 251 260 364 455 502 910 1004 1255 1757 1820 2510 3263 3514 5020 6526 7028 8785 13052 13163 16315 17570 22841 26326 32630 35140 45682 52652 65260 65815 91364 92141 114205 131630 171119 184282 228410 263260 342238 368564 456820 460705 684476 855595 921410 1197833 1711190 1842820 2395666 3303913 3422380 4791332 5989165 6607826 11978330 13215652 16519565 23127391 23956660 33039130 42950869 46254782 66078260 85901738 92509564 115636955 171803476 214754345 231273910 300656083 429508690 462547820 601312166 859017380 1202624332 1503280415 3006560830 6013121660