Search a number
-
+
1543240664 = 23771487797
BaseRepresentation
bin101101111111011…
…1111101111011000
310222112212202012122
41123332333233120
511130032200124
6413045000412
753146220630
oct13376775730
93875782178
101543240664
11722134609
123709b3108
131b7951b74
14108d5b6c0
159073b75e
hex5bfbfbd8

1543240664 has 64 divisors (see below), whose sum is σ = 3364623360. Its totient is φ = 649918080.

The previous prime is 1543240651. The next prime is 1543240679. The reversal of 1543240664 is 4660423451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935914 + ... + 1936710.

It is an arithmetic number, because the mean of its divisors is an integer number (52572240).

Almost surely, 21543240664 is an apocalyptic number.

1543240664 is a gapful number since it is divisible by the number (14) 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 1543240664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682311680).

1543240664 is an abundant number, since it is smaller than the sum of its proper divisors (1821382696).

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

1543240664 is a wasteful number, since it uses less digits than its factorization.

1543240664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 1543240664 is about 39284.1019243154. The cubic root of 1543240664 is about 1155.6098087255.

The spelling of 1543240664 in words is "one billion, five hundred forty-three million, two hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 487 497 568 797 974 994 1594 1948 1988 3188 3409 3896 3976 5579 6376 6818 11158 13636 22316 27272 34577 44632 56587 69154 113174 138308 226348 242039 276616 388139 396109 452696 484078 776278 792218 968156 1552556 1584436 1936312 2716973 3105112 3168872 5433946 10867892 21735784 27557869 55115738 110231476 192905083 220462952 385810166 771620332 1543240664