Search a number
-
+
60620260240 = 2451138298089
BaseRepresentation
bin111000011101001111…
…111100001110010000
312210110201201021211201
4320131033330032100
51443122241311430
643503142320544
74244140465411
oct703517741620
9183421637751
1060620260240
1123788613831
12b8b9729154
1359410ca797
142d10dd1808
15189be238ca
hexe1d3fc390

60620260240 has 80 divisors (see below), whose sum is σ = 142378498800. Its totient is φ = 24001560576.

The previous prime is 60620260213. The next prime is 60620260241. The reversal of 60620260240 is 4206202606.

It can be written as a sum of positive squares in 8 ways, for example, as 24962736016 + 35657524224 = 157996^2 + 188832^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 60620260199 and 60620260208.

It is not an unprimeable number, because it can be changed into a prime (60620260241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7490116 + ... + 7498204.

It is an arithmetic number, because the mean of its divisors is an integer number (1779731235).

Almost surely, 260620260240 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 60620260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71189249400).

60620260240 is an abundant number, since it is smaller than the sum of its proper divisors (81758238560).

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

60620260240 is a wasteful number, since it uses less digits than its factorization.

60620260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9038 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 60620260240 its reverse (4206202606), we get a palindrome (64826462846).

The spelling of 60620260240 in words is "sixty billion, six hundred twenty million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 829 904 1130 1658 1808 2260 3316 4145 4520 6632 8089 8290 9040 13264 16178 16580 32356 33160 40445 64712 66320 80890 93677 129424 161780 187354 323560 374708 468385 647120 749416 914057 936770 1498832 1828114 1873540 3656228 3747080 4570285 6705781 7312456 7494160 9140570 13411562 14624912 18281140 26823124 33528905 36562280 53646248 67057810 73124560 107292496 134115620 268231240 536462480 757753253 1515506506 3031013012 3788766265 6062026024 7577532530 12124052048 15155065060 30310130120 60620260240