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1064132532 = 223341240319
BaseRepresentation
bin111111011011010…
…101111110110100
32202011100112102000
4333123111332310
54134404220112
6253332015300
735240656131
oct7733257664
92664315360
101064132532
114a6747581
12258461530
1313c603128
14a1483588
156364d7dc
hex3f6d5fb4

1064132532 has 48 divisors (see below), whose sum is σ = 2826163200. Its totient is φ = 346057920.

The previous prime is 1064132483. The next prime is 1064132533. The reversal of 1064132532 is 2352314601.

1064132532 is a `hidden beast` number, since 10 + 641 + 3 + 2 + 5 + 3 + 2 = 666.

It is a super-2 number, since 2×10641325322 = 2264756091321462048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064132496 and 1064132505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064132533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115732 + ... + 124587.

It is an arithmetic number, because the mean of its divisors is an integer number (58878400).

Almost surely, 21064132532 is an apocalyptic number.

1064132532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1064132532 is an abundant number, since it is smaller than the sum of its proper divisors (1762030668).

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

1064132532 is a wasteful number, since it uses less digits than its factorization.

1064132532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240373 (or 240365 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1064132532 is about 32621.0443119162. The cubic root of 1064132532 is about 1020.9361301999.

The spelling of 1064132532 in words is "one billion, sixty-four million, one hundred thirty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 240319 480638 720957 961276 1441914 2162871 2883828 4325742 6488613 8651484 9853079 12977226 19706158 25954452 29559237 39412316 59118474 88677711 118236948 177355422 266033133 354710844 532066266 1064132532