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116936560 = 24513229491
BaseRepresentation
bin1101111100001…
…00111101110000
322011000222210201
412332010331300
5214413432220
615334204544
72616641626
oct676047560
9264028721
10116936560
116000a194
12331b3754
131b2c3740
141175d516
15a3ecd0a
hex6f84f70

116936560 has 80 divisors (see below), whose sum is σ = 294668640. Its totient is φ = 42900480.

The previous prime is 116936537. The next prime is 116936587. The reversal of 116936560 is 65639611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237915 + ... + 238405.

It is an arithmetic number, because the mean of its divisors is an integer number (3683358).

Almost surely, 2116936560 is an apocalyptic number.

116936560 is a gapful number since it is divisible by the number (10) 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 116936560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147334320).

116936560 is an abundant number, since it is smaller than the sum of its proper divisors (177732080).

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

116936560 is a wasteful number, since it uses less digits than its factorization.

116936560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 116936560 is about 10813.7209137281. The cubic root of 116936560 is about 489.0089088559.

The spelling of 116936560 in words is "one hundred sixteen million, nine hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 229 260 458 491 520 916 982 1040 1145 1832 1964 2290 2455 2977 3664 3928 4580 4910 5954 6383 7856 9160 9820 11908 12766 14885 18320 19640 23816 25532 29770 31915 39280 47632 51064 59540 63830 102128 112439 119080 127660 224878 238160 255320 449756 510640 562195 899512 1124390 1461707 1799024 2248780 2923414 4497560 5846828 7308535 8995120 11693656 14617070 23387312 29234140 58468280 116936560