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1085682933 = 3619103761
BaseRepresentation
bin100000010110110…
…0011010011110101
32210122220102000000
41000231203103311
54210413323213
6255421541513
735622103236
oct10055432365
92718812000
101085682933
11507926725
12263714899
13143c0a14a
14a429308d
15654a8c73
hex40b634f5

1085682933 has 56 divisors (see below), whose sum is σ = 1732361280. Its totient is φ = 678144960.

The previous prime is 1085682929. The next prime is 1085682943. The reversal of 1085682933 is 3392865801.

It is a happy number.

It is not a de Polignac number, because 1085682933 - 22 = 1085682929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085682943) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1426273 + ... + 1427033.

Almost surely, 21085682933 is an apocalyptic number.

It is an amenable number.

1085682933 is a deficient number, since it is larger than the sum of its proper divisors (646678347).

1085682933 is an equidigital number, since it uses as much as digits as its factorization.

1085682933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1085682933 is about 32949.7030790871. The cubic root of 1085682933 is about 1027.7819909064.

The spelling of 1085682933 in words is "one billion, eighty-five million, six hundred eighty-two thousand, nine hundred thirty-three".

Divisors: 1 3 9 19 27 57 81 103 171 243 309 513 729 761 927 1539 1957 2283 2781 4617 5871 6849 8343 13851 14459 17613 20547 25029 43377 52839 61641 75087 78383 130131 158517 184923 235149 390393 475551 554769 705447 1171179 1426653 1489277 2116341 3513537 4467831 6349023 10540611 13403493 19047069 40210479 57141207 120631437 361894311 1085682933