Search a number
-
+
1380554496 = 28331731379
BaseRepresentation
bin101001001001001…
…1001011100000000
310120012202102202000
41102102121130000
510311410220441
6344554024000
746132343136
oct12222313400
93505672660
101380554496
11649318032
12326418000
13190030869
14d14cd756
15813032b6
hex52499700

1380554496 has 288 divisors, whose sum is σ = 4473907200. Its totient is φ = 418037760.

The previous prime is 1380554491. The next prime is 1380554509. The reversal of 1380554496 is 6944550831.

1380554496 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 554 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380554491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3642435 + ... + 3642813.

It is an arithmetic number, because the mean of its divisors is an integer number (15534400).

Almost surely, 21380554496 is an apocalyptic number.

1380554496 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 1380554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236953600).

1380554496 is an abundant number, since it is smaller than the sum of its proper divisors (3093352704).

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

1380554496 is a wasteful number, since it uses less digits than its factorization.

1380554496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1380554496 is about 37155.8137577419. The cubic root of 1380554496 is about 1113.4853776197.

The spelling of 1380554496 in words is "one billion, three hundred eighty million, five hundred fifty-four thousand, four hundred ninety-six".