Search a number
-
+
1366020288 = 2634416427
BaseRepresentation
bin101000101101011…
…1101000011000000
310112012102000120000
41101122331003000
510244200122123
6343314320000
745564660303
oct12132750300
93465360500
101366020288
116410a0296
12321589000
1318a012239
14cd5c8b3a
157edd1b43
hex516bd0c0

1366020288 has 140 divisors (see below), whose sum is σ = 4148721192. Its totient is φ = 444165120.

The previous prime is 1366020233. The next prime is 1366020289. The reversal of 1366020288 is 8820206631.

It is a super-2 number, since 2×13660202882 = 3732022854455205888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1366020289) 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 19 ways as a sum of consecutive naturals, for example, 209331 + ... + 215757.

Almost surely, 21366020288 is an apocalyptic number.

1366020288 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 1366020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074360596).

1366020288 is an abundant number, since it is smaller than the sum of its proper divisors (2782700904).

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

1366020288 is an equidigital number, since it uses as much as digits as its factorization.

1366020288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1366020288 is about 36959.7116871872. The cubic root of 1366020288 is about 1109.5640654853.

The spelling of 1366020288 in words is "one billion, three hundred sixty-six million, twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 162 164 192 216 246 288 324 328 369 432 492 576 648 656 738 864 984 1107 1296 1312 1476 1728 1968 2214 2592 2624 2952 3321 3936 4428 5184 5904 6427 6642 7872 8856 11808 12854 13284 17712 19281 23616 25708 26568 35424 38562 51416 53136 57843 70848 77124 102832 106272 115686 154248 173529 205664 212544 231372 263507 308496 347058 411328 462744 520587 527014 616992 694116 790521 925488 1041174 1054028 1233984 1388232 1581042 1850976 2082348 2108056 2371563 2776464 3162084 3701952 4164696 4216112 4743126 5552928 6324168 7114689 8329392 8432224 9486252 11105856 12648336 14229378 16658784 16864448 18972504 21344067 25296672 28458756 33317568 37945008 42688134 50593344 56917512 75890016 85376268 113835024 151780032 170752536 227670048 341505072 455340096 683010144 1366020288