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1165861242 = 2337131912487
BaseRepresentation
bin100010101111101…
…1010000101111010
310000020202212222000
41011133122011322
54341430024432
6311404241430
740614441240
oct10537320572
93006685860
101165861242
11549109897
12286540276
13157700730
14b0ba4790
156c54557c
hex457da17a

1165861242 has 128 divisors (see below), whose sum is σ = 3356774400. Its totient is φ = 291273408.

The previous prime is 1165861211. The next prime is 1165861247. The reversal of 1165861242 is 2421685611.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1165861197 and 1165861206.

It is not an unprimeable number, because it can be changed into a prime (1165861247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87123 + ... + 99609.

It is an arithmetic number, because the mean of its divisors is an integer number (26224800).

Almost surely, 21165861242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1165861242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678387200).

1165861242 is an abundant number, since it is smaller than the sum of its proper divisors (2190913158).

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

1165861242 is a wasteful number, since it uses less digits than its factorization.

1165861242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12537 (or 12531 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1165861242 is about 34144.7103077475. The cubic root of 1165861242 is about 1052.4842889913.

It can be divided in two parts, 11658 and 61242, that added together give a square (72900 = 2702).

The spelling of 1165861242 in words is "one billion, one hundred sixty-five million, eight hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 342 351 378 399 494 513 546 702 741 798 819 1026 1197 1482 1638 1729 2223 2394 2457 3458 3591 4446 4914 5187 6669 7182 10374 12487 13338 15561 24974 31122 37461 46683 74922 87409 93366 112383 162331 174818 224766 237253 262227 324662 337149 474506 486993 524454 674298 711759 786681 973986 1136317 1423518 1460979 1573362 1660771 2135277 2272634 2360043 2921958 3084289 3321542 3408951 4270554 4382937 4720086 4982313 6168578 6405831 6817902 8765874 9252867 9964626 10226853 12811662 14946939 18505734 20453706 21590023 27758601 29893878 30680559 43180046 44840817 55517202 61361118 64770069 83275803 89681634 129540138 166551606 194310207 388620414 582930621 1165861242