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1073038640 = 24517788999
BaseRepresentation
bin111111111101010…
…100010100110000
32202210010000021212
4333331110110300
54144144214030
6254250535252
735406451352
oct7775242460
92683100255
101073038640
1150077a8a3
1225b437528
13141400b0b
14a27210d2
156430c595
hex3ff54530

1073038640 has 40 divisors (see below), whose sum is σ = 2641572000. Its totient is φ = 403966976.

The previous prime is 1073038639. The next prime is 1073038643. The reversal of 1073038640 is 468303701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1073038597 and 1073038606.

It is not an unprimeable number, because it can be changed into a prime (1073038643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393140 + ... + 395859.

It is an arithmetic number, because the mean of its divisors is an integer number (66039300).

Almost surely, 21073038640 is an apocalyptic number.

1073038640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1073038640 is an abundant number, since it is smaller than the sum of its proper divisors (1568533360).

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

1073038640 is a wasteful number, since it uses less digits than its factorization.

1073038640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789029 (or 789023 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1073038640 is about 32757.2685063941. The cubic root of 1073038640 is about 1023.7764150114.

The spelling of 1073038640 in words is "one billion, seventy-three million, thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 788999 1577998 3155996 3944995 6311992 7889990 12623984 13412983 15779980 26825966 31559960 53651932 63119920 67064915 107303864 134129830 214607728 268259660 536519320 1073038640