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116443008 = 2734111021
BaseRepresentation
bin1101111000011…
…00011110000000
322010002220210000
412330030132000
5214302134013
615315440000
72612514663
oct674143600
9263086700
10116443008
115a8023a0
1232bb6000
131b17cbb6
14116716da
15a351973
hex6f0c780

116443008 has 160 divisors (see below), whose sum is σ = 378405720. Its totient is φ = 35251200.

The previous prime is 116443007. The next prime is 116443027. The reversal of 116443008 is 800344611.

116443008 is a `hidden beast` number, since 11 + 644 + 3 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×1164430082 = 27117948224176128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116443007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113538 + ... + 114558.

Almost surely, 2116443008 is an apocalyptic number.

116443008 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 116443008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189202860).

116443008 is an abundant number, since it is smaller than the sum of its proper divisors (261962712).

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

116443008 is a wasteful number, since it uses less digits than its factorization.

116443008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116443008 is about 10790.8761460782. The cubic root of 116443008 is about 488.3199550073.

Adding to 116443008 its reverse (800344611), we get a palindrome (916787619).

The spelling of 116443008 in words is "one hundred sixteen million, four hundred forty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1021 1056 1152 1188 1296 1408 1584 1728 1782 2042 2112 2376 2592 3063 3168 3456 3564 4084 4224 4752 5184 6126 6336 7128 8168 9189 9504 10368 11231 12252 12672 14256 16336 18378 19008 22462 24504 27567 28512 32672 33693 36756 38016 44924 49008 55134 57024 65344 67386 73512 82701 89848 98016 101079 110268 114048 130688 134772 147024 165402 179696 196032 202158 220536 269544 294048 303237 330804 359392 392064 404316 441072 539088 588096 606474 661608 718784 808632 882144 909711 1078176 1176192 1212948 1323216 1437568 1617264 1764288 1819422 2156352 2425896 2646432 3234528 3528576 3638844 4312704 4851792 5292864 6469056 7277688 9703584 10585728 12938112 14555376 19407168 29110752 38814336 58221504 116443008