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116259858 = 232111331247
BaseRepresentation
bin1101110110111…
…11110000010010
322002202121112200
412323133300102
5214230303413
615311504030
72611123011
oct673376022
9262677480
10116259858
115a697830
1232b28016
131b117720
1411624a78
15a317573
hex6edfc12

116259858 has 144 divisors (see below), whose sum is σ = 312294528. Its totient is φ = 30801600.

The previous prime is 116259853. The next prime is 116259859. The reversal of 116259858 is 858952611.

It is a happy number.

116259858 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 598 + 58 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116259853) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2473591 + ... + 2473637.

It is an arithmetic number, because the mean of its divisors is an integer number (2168712).

Almost surely, 2116259858 is an apocalyptic number.

116259858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116259858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156147264).

116259858 is an abundant number, since it is smaller than the sum of its proper divisors (196034670).

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

116259858 is a wasteful number, since it uses less digits than its factorization.

116259858 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 116259858 is about 10782.3864705361. The cubic root of 116259858 is about 488.0637989911.

The spelling of 116259858 in words is "one hundred sixteen million, two hundred fifty-nine thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 47 62 66 78 93 94 99 117 141 143 186 198 234 279 282 286 341 403 423 429 517 558 611 682 806 846 858 961 1023 1034 1209 1222 1287 1457 1551 1833 1922 2046 2418 2574 2883 2914 3069 3102 3627 3666 4371 4433 4653 5499 5766 6138 6721 7254 8649 8742 8866 9306 10571 10998 12493 13113 13299 13442 16027 17298 18941 20163 21142 24986 26226 26598 31713 32054 37479 37882 39897 40326 45167 48081 56823 60489 63426 74958 79794 90334 95139 96162 112437 113646 120978 135501 137423 144243 170469 190278 208351 224874 271002 274846 288486 340938 406503 412269 416702 496837 587171 625053 813006 824538 993674 1174342 1236807 1250106 1490511 1761513 1875159 2473614 2981022 3523026 3750318 4471533 5284539 6458881 8943066 10569078 12917762 19376643 38753286 58129929 116259858