Search a number
-
+
1368278568 = 23354117167
BaseRepresentation
bin101000110001110…
…0100011000101000
310112100122202100000
41101203210120220
510300234403233
6343434543000
745623114226
oct12143443050
93470582300
101368278568
116423a2a38
12322297a60
1318a6230b7
14cda15b16
15801cad13
hex518e4628

1368278568 has 96 divisors (see below), whose sum is σ = 3936965760. Its totient is φ = 444942720.

The previous prime is 1368278563. The next prime is 1368278591. The reversal of 1368278568 is 8658728631.

1368278568 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 78 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1368278563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71121 + ... + 88287.

It is an arithmetic number, because the mean of its divisors is an integer number (41010060).

Almost surely, 21368278568 is an apocalyptic number.

1368278568 is a gapful number since it is divisible by the number (18) 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 1368278568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968482880).

1368278568 is an abundant number, since it is smaller than the sum of its proper divisors (2568687192).

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

1368278568 is a wasteful number, since it uses less digits than its factorization.

1368278568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229 (or 17213 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 1368278568 is about 36990.2496341941. The cubic root of 1368278568 is about 1110.1751659281.

It can be divided in two parts, 1368 and 278568, that added together give a 7-th power (279936 = 67).

The spelling of 1368278568 in words is "one billion, three hundred sixty-eight million, two hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 324 328 369 486 492 648 738 972 984 1107 1476 1944 2214 2952 3321 4428 6642 8856 9963 13284 17167 19926 26568 34334 39852 51501 68668 79704 103002 137336 154503 206004 309006 412008 463509 618012 703847 927018 1236024 1390527 1407694 1854036 2111541 2781054 2815388 3708072 4171581 4223082 5562108 5630776 6334623 8343162 8446164 11124216 12669246 16686324 16892328 19003869 25338492 33372648 38007738 50676984 57011607 76015476 114023214 152030952 171034821 228046428 342069642 456092856 684139284 1368278568