Search a number
-
+
5780060112 = 2431723113441
BaseRepresentation
bin1010110001000010…
…01011011111010000
3112220211012110212110
411120201023133100
543314143410422
62353314425320
7263143462131
oct53041133720
915824173773
105780060112
1124a6769792
121153892240
1371164c818
143cb919c88
1523c69060c
hex15884b7d0

5780060112 has 120 divisors (see below), whose sum is σ = 16374721792. Its totient is φ = 1754726400.

The previous prime is 5780060107. The next prime is 5780060123. The reversal of 5780060112 is 2110600875.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5780060112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423312 + ... + 436752.

Almost surely, 25780060112 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 5780060112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187360896).

5780060112 is an abundant number, since it is smaller than the sum of its proper divisors (10594661680).

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

5780060112 is a wasteful number, since it uses less digits than its factorization.

5780060112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13517 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 5780060112 is about 76026.7065707834. The cubic root of 5780060112 is about 1794.6404477397.

Adding to 5780060112 its reverse (2110600875), we get a palindrome (7890660987).

The spelling of 5780060112 in words is "five billion, seven hundred eighty million, sixty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 289 372 408 496 527 578 744 816 867 1054 1156 1488 1581 1734 2108 2312 3162 3468 4216 4624 6324 6936 8432 8959 12648 13441 13872 17918 25296 26877 26882 35836 40323 53754 53764 71672 80646 107508 107528 143344 161292 215016 215056 228497 322584 416671 430032 456994 645168 685491 833342 913988 1250013 1370982 1666684 1827976 2500026 2741964 3333368 3655952 3884449 5000052 5483928 6666736 7083407 7768898 10000104 10967856 11653347 14166814 15537796 20000208 21250221 23306694 28333628 31075592 42500442 46613388 56667256 62151184 85000884 93226776 113334512 120417919 170001768 186453552 240835838 340003536 361253757 481671676 722507514 963343352 1445015028 1926686704 2890030056 5780060112