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116363104 = 25111359431
BaseRepresentation
bin1101110111110…
…00111101100000
322002221212011121
412323320331200
5214242104404
615314022024
72612033014
oct673707540
9262855147
10116363104
115a758360
1232b77914
131b152710
1411650544
15a337e54
hex6ef8f60

116363104 has 96 divisors (see below), whose sum is σ = 274337280. Its totient is φ = 47884800.

The previous prime is 116363099. The next prime is 116363153. The reversal of 116363104 is 401363611.

It is a happy number.

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, 269769 + ... + 270199.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 2116363104 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 116363104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

116363104 is an abundant number, since it is smaller than the sum of its proper divisors (157974176).

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

116363104 is a wasteful number, since it uses less digits than its factorization.

116363104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 116363104 is about 10787.1731236687. The cubic root of 116363104 is about 488.2082332683.

The spelling of 116363104 in words is "one hundred sixteen million, three hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 59 88 104 118 143 176 208 236 286 352 416 431 472 572 649 767 862 944 1144 1298 1534 1724 1888 2288 2596 3068 3448 4576 4741 5192 5603 6136 6896 8437 9482 10384 11206 12272 13792 16874 18964 20768 22412 24544 25429 33748 37928 44824 50858 61633 67496 75856 89648 101716 123266 134992 151712 179296 203432 246532 269984 279719 330577 406864 493064 559438 661154 813728 986128 1118876 1322308 1972256 2237752 2644616 3636347 4475504 5289232 7272694 8951008 10578464 14545388 29090776 58181552 116363104