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1059312429 = 32723596691
BaseRepresentation
bin111111001000111…
…101001100101101
32201211021122110200
4333020331030231
54132140444204
6253040424113
735152002300
oct7710751455
92654248420
101059312429
114a3a5511a
12256918039
1313b6061b6
14a098ab37
1562eea539
hex3f23d32d

1059312429 has 36 divisors (see below), whose sum is σ = 1785157920. Its totient is φ = 603545040.

The previous prime is 1059312413. The next prime is 1059312451. The reversal of 1059312429 is 9242139501.

1059312429 is a `hidden beast` number, since 10 + 593 + 12 + 42 + 9 = 666.

It is not a de Polignac number, because 1059312429 - 24 = 1059312413 is a prime.

It is a super-2 number, since 2×10593124292 = 2244285644467760082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059312393 and 1059312402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059312409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154974 + ... + 161664.

It is an arithmetic number, because the mean of its divisors is an integer number (49587720).

Almost surely, 21059312429 is an apocalyptic number.

It is an amenable number.

1059312429 is a deficient number, since it is larger than the sum of its proper divisors (725845491).

1059312429 is a wasteful number, since it uses less digits than its factorization.

1059312429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1059312429 is about 32547.0801916239. The cubic root of 1059312429 is about 1019.3923168112.

The spelling of 1059312429 in words is "one billion, fifty-nine million, three hundred twelve thousand, four hundred twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 359 441 1077 2513 3231 6691 7539 17591 20073 22617 46837 52773 60219 140511 158319 327859 421533 983577 2402069 2950731 7206207 16814483 21618621 50443449 117701381 151330347 353104143 1059312429