Search a number
-
+
1057505589 = 32723996997
BaseRepresentation
bin111111000010000…
…100000100110101
32201200212211221200
4333002010010311
54131210134324
6252534003113
735130435450
oct7702040465
92650784850
101057505589
114a2a30668
122561a6499
1313b12296a
14a063a497
1562c8eec9
hex3f084135

1057505589 has 24 divisors (see below), whose sum is σ = 1746700800. Its totient is φ = 603950688.

The previous prime is 1057505563. The next prime is 1057505599. The reversal of 1057505589 is 9855057501.

1057505589 is a `hidden beast` number, since 10 + 5 + 7 + 50 + 5 + 589 = 666.

It is not a de Polignac number, because 1057505589 - 27 = 1057505461 is a prime.

It is a super-2 number, since 2×10575055892 = 2236636141532473842, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057505549) 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 23 ways as a sum of consecutive naturals, for example, 147639 + ... + 154635.

It is an arithmetic number, because the mean of its divisors is an integer number (72779200).

Almost surely, 21057505589 is an apocalyptic number.

It is an amenable number.

1057505589 is a deficient number, since it is larger than the sum of its proper divisors (689195211).

1057505589 is a wasteful number, since it uses less digits than its factorization.

1057505589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 45.

The square root of 1057505589 is about 32519.3110166867. The cubic root of 1057505589 is about 1018.8124038505.

The spelling of 1057505589 in words is "one billion, fifty-seven million, five hundred five thousand, five hundred eighty-nine".

Divisors: 1 3 7 9 21 63 2399 6997 7197 16793 20991 21591 48979 50379 62973 146937 151137 440811 16785803 50357409 117500621 151072227 352501863 1057505589