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1080992640 = 273571323269
BaseRepresentation
bin100000001101110…
…1010001110000000
32210100002010010110
41000123222032000
54203213231030
6255133231320
735534200020
oct10033521600
92710063113
101080992640
11505212852
12262032540
13142c57320
14a37d1a80
1564d7e1b0
hex406ea380

1080992640 has 512 divisors, whose sum is σ = 4441651200. Its totient is φ = 217350144.

The previous prime is 1080992579. The next prime is 1080992641. The reversal of 1080992640 is 462990801.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080992641) 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 63 ways as a sum of consecutive naturals, for example, 4018426 + ... + 4018694.

It is an arithmetic number, because the mean of its divisors is an integer number (8675100).

Almost surely, 21080992640 is an apocalyptic number.

1080992640 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 1080992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220825600).

1080992640 is an abundant number, since it is smaller than the sum of its proper divisors (3360658560).

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

1080992640 is a wasteful number, since it uses less digits than its factorization.

1080992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1080992640 is about 32878.4525183288. The cubic root of 1080992640 is about 1026.2998033317.

The spelling of 1080992640 in words is "one billion, eighty million, nine hundred ninety-two thousand, six hundred forty".