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116459616 = 25371313331
BaseRepresentation
bin1101111000100…
…00100001100000
322010010202120010
412330100201200
5214303201431
615320044520
72612614260
oct674204140
9263122503
10116459616
115a813919
1233003740
131b187620
14116777a0
15a356846
hex6f10860

116459616 has 96 divisors (see below), whose sum is σ = 376282368. Its totient is φ = 30712320.

The previous prime is 116459611. The next prime is 116459641. The reversal of 116459616 is 616954611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116459611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071 + ... + 15401.

It is an arithmetic number, because the mean of its divisors is an integer number (3919608).

Almost surely, 2116459616 is an apocalyptic number.

116459616 is a gapful number since it is divisible by the number (16) 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 116459616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188141184).

116459616 is an abundant number, since it is smaller than the sum of its proper divisors (259822752).

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

116459616 is a wasteful number, since it uses less digits than its factorization.

116459616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364 (or 13356 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 116459616 is about 10791.6456576372. The cubic root of 116459616 is about 488.3431698899.

The spelling of 116459616 in words is "one hundred sixteen million, four hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 13331 26662 39993 53324 79986 93317 106648 159972 173303 186634 213296 279951 319944 346606 373268 426592 519909 559902 639888 693212 746536 1039818 1119804 1213121 1279776 1386424 1493072 2079636 2239608 2426242 2772848 2986144 3639363 4159272 4479216 4852484 5545696 7278726 8318544 8958432 9704968 14557452 16637088 19409936 29114904 38819872 58229808 116459616