Search a number
-
+
1360800078 = 2311612271489
BaseRepresentation
bin101000100011100…
…0010100101001110
310111211120210202220
41101013002211032
510241331100303
6343010400210
745502416111
oct12107024516
93454523686
101360800078
11639155270
1231b890066
13188c05161
14cca2a578
157e700053
hex511c294e

1360800078 has 64 divisors (see below), whose sum is σ = 3033020160. Its totient is φ = 403545600.

The previous prime is 1360800061. The next prime is 1360800079. The reversal of 1360800078 is 8700080631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1360800079) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 913158 + ... + 914646.

It is an arithmetic number, because the mean of its divisors is an integer number (47390940).

Almost surely, 21360800078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1360800078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516510080).

1360800078 is an abundant number, since it is smaller than the sum of its proper divisors (1672220082).

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

1360800078 is a wasteful number, since it uses less digits than its factorization.

1360800078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1360800078 is about 36889.0238146796. The cubic root of 1360800078 is about 1108.1488714414.

The spelling of 1360800078 in words is "one billion, three hundred sixty million, eight hundred thousand, seventy-eight".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 227 366 454 671 681 1342 1362 1489 2013 2497 2978 4026 4467 4994 7491 8934 13847 14982 16379 27694 32758 41541 49137 83082 90829 98274 152317 181658 272487 304634 338003 456951 544974 676006 913902 999119 1014009 1998238 2028018 2997357 3718033 5994714 7436066 11154099 20618183 22308198 41236366 61854549 123709098 226800013 453600026 680400039 1360800078