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1161065988 = 22341072313
BaseRepresentation
bin100010100110100…
…0111011000000100
32222220202021010000
41011031013120010
54334213102423
6311113401300
740525620015
oct10515073004
92886667100
101161065988
11546434075
12284a09230
13156711bc4
14b02b700c
156bde9843
hex45347604

1161065988 has 90 divisors (see below), whose sum is σ = 3073676606. Its totient is φ = 382180032.

The previous prime is 1161065977. The next prime is 1161066007. The reversal of 1161065988 is 8895601611.

It can be written as a sum of positive squares in only one way, i.e., 626901444 + 534164544 = 25038^2 + 23112^2 .

It is a super-2 number, since 2×11610659882 = 2696148456980832288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3709320 + ... + 3709632.

Almost surely, 21161065988 is an apocalyptic number.

1161065988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161065988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536838303).

1161065988 is an abundant number, since it is smaller than the sum of its proper divisors (1912610618).

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

1161065988 is a wasteful number, since it uses less digits than its factorization.

1161065988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1161065988 is about 34074.4183809497. The cubic root of 1161065988 is about 1051.0393300757.

The spelling of 1161065988 in words is "one billion, one hundred sixty-one million, sixty-five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 313 321 324 428 626 642 939 963 1252 1284 1878 1926 2817 2889 3756 3852 5634 5778 8451 8667 11268 11449 11556 16902 17334 22898 25353 33491 33804 34347 34668 45796 50706 66982 68694 100473 101412 103041 133964 137388 200946 206082 301419 309123 401892 412164 602838 618246 904257 927369 1205676 1236492 1808514 1854738 2712771 3583537 3617028 3709476 5425542 7167074 10750611 10851084 14334148 21501222 32251833 43002444 64503666 96755499 129007332 193510998 290266497 387021996 580532994 1161065988