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1083931128 = 233272150657
BaseRepresentation
bin100000010011011…
…0111100111111000
32210112121101222100
41000212313213320
54204441244003
6255320223400
735601156030
oct10046674770
92715541870
101083931128
1150693a555
1226300ab60
13143745987
14a3d588c0
156525eba3
hex409b79f8

1083931128 has 48 divisors (see below), whose sum is σ = 3355026480. Its totient is φ = 309694464.

The previous prime is 1083931127. The next prime is 1083931139. The reversal of 1083931128 is 8211393801.

1083931128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1083931092 and 1083931101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083931127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1074825 + ... + 1075832.

It is an arithmetic number, because the mean of its divisors is an integer number (69896385).

Almost surely, 21083931128 is an apocalyptic number.

1083931128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1083931128 is an abundant number, since it is smaller than the sum of its proper divisors (2271095352).

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

1083931128 is a wasteful number, since it uses less digits than its factorization.

1083931128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150676 (or 2150669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1083931128 is about 32923.1093306814. The cubic root of 1083931128 is about 1027.2289003646.

The spelling of 1083931128 in words is "one billion, eighty-three million, nine hundred thirty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2150657 4301314 6451971 8602628 12903942 15054599 17205256 19355913 25807884 30109198 38711826 45163797 51615768 60218396 77423652 90327594 120436792 135491391 154847304 180655188 270982782 361310376 541965564 1083931128