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1166884056 = 23361315391
BaseRepresentation
bin100010110001101…
…0011110011011000
310000022200212000000
41011203103303120
54342210242211
6311442213000
740626231222
oct10543236330
93008625000
101166884056
11549748298
12286954160
1315799b150
14b0d8d412
156c698656
hex458d3cd8

1166884056 has 112 divisors (see below), whose sum is σ = 3532925760. Its totient is φ = 359017920.

The previous prime is 1166884039. The next prime is 1166884057. The reversal of 1166884056 is 6504886611.

1166884056 is a `hidden beast` number, since 1 + 166 + 88 + 405 + 6 = 666.

It is a super-2 number, since 2×11668840562 = 2723236800294022272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166884057) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 68121 + ... + 83511.

It is an arithmetic number, because the mean of its divisors is an integer number (31543980).

Almost surely, 21166884056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166884056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766462880).

1166884056 is an abundant number, since it is smaller than the sum of its proper divisors (2366041704).

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

1166884056 is a wasteful number, since it uses less digits than its factorization.

1166884056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15428 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1166884056 is about 34159.6846589660. The cubic root of 1166884056 is about 1052.7919817011.

The spelling of 1166884056 in words is "one billion, one hundred sixty-six million, eight hundred eighty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 15391 18954 25272 30782 37908 46173 61564 75816 92346 123128 138519 184692 200083 277038 369384 400166 415557 554076 600249 800332 831114 1108152 1200498 1246671 1600664 1662228 1800747 2400996 2493342 3324456 3601494 3740013 4801992 4986684 5402241 7202988 7480026 9973368 10804482 11220039 14405976 14960052 16206723 21608964 22440078 29920104 32413446 43217928 44880156 48620169 64826892 89760312 97240338 129653784 145860507 194480676 291721014 388961352 583442028 1166884056