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930993041 = 11611977043
BaseRepresentation
bin110111011111011…
…101001110010001
32101212211100100202
4313133131032101
53401313234131
6232214224545
732033211266
oct6737351621
92355740322
10930993041
11438580940
1221b955155
1311ab58674
148b90726d
1556aeebcb
hex377dd391

930993041 has 16 divisors (see below), whose sum is σ = 1037665728. Its totient is φ = 828139200.

The previous prime is 930992971. The next prime is 930993059. The reversal of 930993041 is 140399039.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-930993041 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 930992986 and 930993004.

It is not an unprimeable number, because it can be changed into a prime (930993541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128666 + ... + 135708.

It is an arithmetic number, because the mean of its divisors is an integer number (64854108).

Almost surely, 2930993041 is an apocalyptic number.

It is an amenable number.

930993041 is a deficient number, since it is larger than the sum of its proper divisors (106672687).

930993041 is a wasteful number, since it uses less digits than its factorization.

930993041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7312.

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 930993041 is about 30512.1785685650. The cubic root of 930993041 is about 976.4473060656.

The spelling of 930993041 in words is "nine hundred thirty million, nine hundred ninety-three thousand, forty-one".

Divisors: 1 11 61 197 671 2167 7043 12017 77473 132187 429623 1387471 4725853 15262181 84635731 930993041