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1074993039 = 34195911839
BaseRepresentation
bin100000000010011…
…0001011110001111
32202220210022020000
41000010301132033
54200144234124
6254400455343
735432201331
oct10004613617
92686708200
101074993039
115018951aa
1226001a553
13141936573
14a2aad451
15645966c9
hex4013178f

1074993039 has 40 divisors (see below), whose sum is σ = 1719168000. Its totient is φ = 667379088.

The previous prime is 1074993019. The next prime is 1074993041. The reversal of 1074993039 is 9303994701.

It is not a de Polignac number, because 1074993039 - 220 = 1073944463 is a prime.

It is a super-2 number, since 2×10749930392 = 2311220067796911042, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1074992985 and 1074993003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074993019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84882 + ... + 96720.

It is an arithmetic number, because the mean of its divisors is an integer number (42979200).

Almost surely, 21074993039 is an apocalyptic number.

1074993039 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1074993039 is a deficient number, since it is larger than the sum of its proper divisors (644174961).

1074993039 is a wasteful number, since it uses less digits than its factorization.

1074993039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11929 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1074993039 is about 32787.0864670833. The cubic root of 1074993039 is about 1024.3975961390.

The spelling of 1074993039 in words is "one billion, seventy-four million, nine hundred ninety-three thousand, thirty-nine".

Divisors: 1 3 9 19 27 57 59 81 171 177 513 531 1121 1539 1593 3363 4779 10089 11839 30267 35517 90801 106551 224941 319653 674823 698501 958959 2024469 2095503 6073407 6286509 13271519 18220221 18859527 39814557 56578581 119443671 358331013 1074993039