Search a number
-
+
1368904320 = 27335711317
BaseRepresentation
bin101000110010111…
…1101001010000000
310112101211112201000
41101211331022000
510300414414240
6343500212000
745631331460
oct12145751200
93471745630
101368904320
11642790093
1232253a000
1318a7b1b74
14cdb39ba0
15802a1430
hex5197d280

1368904320 has 256 divisors, whose sum is σ = 5541292800. Its totient is φ = 312864768.

The previous prime is 1368904307. The next prime is 1368904321. The reversal of 1368904320 is 234098631.

1368904320 is a `hidden beast` number, since 136 + 8 + 90 + 432 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1368904321) 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, 115302 + ... + 126618.

It is an arithmetic number, because the mean of its divisors is an integer number (21645675).

Almost surely, 21368904320 is an apocalyptic number.

1368904320 is a gapful number since it is divisible by the number (10) 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 1368904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770646400).

1368904320 is an abundant number, since it is smaller than the sum of its proper divisors (4172388480).

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

1368904320 is a wasteful number, since it uses less digits than its factorization.

1368904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11334 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1368904320 is about 36998.7070044346. The cubic root of 1368904320 is about 1110.3443781710.

The spelling of 1368904320 in words is "one billion, three hundred sixty-eight million, nine hundred four thousand, three hundred twenty".