Search a number
-
+
1365578896 = 241123312131
BaseRepresentation
bin101000101100101…
…0001010010010000
310112011120121002011
41101121101102100
510244042011041
6343301032304
745561141403
oct12131212220
93464517064
101365578896
11640919700
123213b5694
13189bb9366
14cd511d3a
157ed45e81
hex51651490

1365578896 has 60 divisors (see below), whose sum is σ = 2918358352. Its totient is φ = 618552000.

The previous prime is 1365578881. The next prime is 1365578909. The reversal of 1365578896 is 6988755631.

It is a self number, because there is not a number n which added to its sum of digits gives 1365578896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639751 + ... + 641881.

Almost surely, 21365578896 is an apocalyptic number.

1365578896 is a gapful number since it is divisible by the number (16) 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 1365578896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459179176).

1365578896 is an abundant number, since it is smaller than the sum of its proper divisors (1552779456).

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

1365578896 is a wasteful number, since it uses less digits than its factorization.

1365578896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2475 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 58.

The square root of 1365578896 is about 36953.7399460461. The cubic root of 1365578896 is about 1109.4445442098. Note that the first 3 decimals are identical.

The spelling of 1365578896 in words is "one billion, three hundred sixty-five million, five hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 331 484 662 968 1324 1936 2131 2648 3641 4262 5296 7282 8524 14564 17048 23441 29128 34096 40051 46882 58256 80102 93764 160204 187528 257851 320408 375056 515702 640816 705361 1031404 1410722 2062808 2821444 4125616 5642888 7758971 11285776 15517942 31035884 62071768 85348681 124143536 170697362 341394724 682789448 1365578896