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116982944 = 25131791571
BaseRepresentation
bin1101111100100…
…00010010100000
322011010100102122
412332100102200
5214421423234
615335203412
72620224101
oct676202240
9264110378
10116982944
1160041021
1233216568
131b30b8a0
14117723a8
15a40b92e
hex6f904a0

116982944 has 48 divisors (see below), whose sum is σ = 249570720. Its totient is φ = 53656320.

The previous prime is 116982923. The next prime is 116982959. The reversal of 116982944 is 449289611.

It is a junction number, because it is equal to n+sod(n) for n = 116982895 and 116982904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73679 + ... + 75249.

It is an arithmetic number, because the mean of its divisors is an integer number (5199390).

Almost surely, 2116982944 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 116982944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124785360).

116982944 is an abundant number, since it is smaller than the sum of its proper divisors (132587776).

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

116982944 is a wasteful number, since it uses less digits than its factorization.

116982944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 116982944 is about 10815.8653837777. The cubic root of 116982944 is about 489.0735569889.

The spelling of 116982944 in words is "one hundred sixteen million, nine hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 179 208 358 416 716 1432 1571 2327 2864 3142 4654 5728 6284 9308 12568 18616 20423 25136 37232 40846 50272 74464 81692 163384 281209 326768 562418 653536 1124836 2249672 3655717 4499344 7311434 8998688 14622868 29245736 58491472 116982944