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1080638208 = 283213109331
BaseRepresentation
bin100000001101001…
…0011101100000000
32210022102002221100
41000122103230000
54203120410313
6255121454400
735531162466
oct10032235400
92708362840
101080638208
11504aa0531
12261aa1400
13142b61bc0
14a373c836
1564d0e173
hex40693b00

1080638208 has 216 divisors, whose sum is σ = 3396433040. Its totient is φ = 328458240.

The previous prime is 1080638191. The next prime is 1080638213. The reversal of 1080638208 is 8028360801.

1080638208 is a `hidden beast` number, since 10 + 8 + 0 + 638 + 2 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264603 + ... + 3264933.

Almost surely, 21080638208 is an apocalyptic number.

1080638208 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 1080638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698216520).

1080638208 is an abundant number, since it is smaller than the sum of its proper divisors (2315794832).

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

1080638208 is a wasteful number, since it uses less digits than its factorization.

1080638208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1080638208 is about 32873.0620417387. The cubic root of 1080638208 is about 1026.1876245678.

The spelling of 1080638208 in words is "one billion, eighty million, six hundred thirty-eight thousand, two hundred eight".