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1368737728 = 26172383659
BaseRepresentation
bin101000110010101…
…0100011111000000
310112101112002011221
41101211110133000
510300344101403
6343452444424
745630036001
oct12145243700
93471462157
101368737728
11642686a06
12322479714
1318a7540a7
14cdad51a8
158026bdbd
hex519547c0

1368737728 has 112 divisors (see below), whose sum is σ = 3041660160. Its totient is φ = 607760384.

The previous prime is 1368737719. The next prime is 1368737753. The reversal of 1368737728 is 8277378631.

Its product of digits (2370816) is a multiple of the sum of its prime divisors (784).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2076663 + ... + 2077321.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 21368737728 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 1368737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520830080).

1368737728 is an abundant number, since it is smaller than the sum of its proper divisors (1672922432).

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

1368737728 is a wasteful number, since it uses less digits than its factorization.

1368737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 52.

The square root of 1368737728 is about 36996.4556140179. The cubic root of 1368737728 is about 1110.2993343618.

It can be divided in two parts, 13687 and 37728, that added together give a palindrome (51415).

The spelling of 1368737728 in words is "one billion, three hundred sixty-eight million, seven hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 83 92 136 166 184 272 332 368 391 544 659 664 736 782 1088 1318 1328 1411 1472 1564 1909 2636 2656 2822 3128 3818 5272 5312 5644 6256 7636 10544 11203 11288 12512 15157 15272 21088 22406 22576 25024 30314 30544 32453 42176 44812 45152 54697 60628 61088 64906 89624 90304 109394 121256 122176 129812 179248 218788 242512 257669 259624 358496 437576 485024 515338 519248 716992 875152 929849 970048 1030676 1038496 1258031 1750304 1859698 2061352 2076992 2516062 3500608 3719396 4122704 5032124 7438792 8245408 10064248 14877584 16490816 20128496 21386527 29755168 40256992 42773054 59510336 80513984 85546108 171092216 342184432 684368864 1368737728