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116334900 = 223352113917
BaseRepresentation
bin1101110111100…
…10000100110100
322002220102111000
412323302010310
5214240204100
615313243300
72611554543
oct673620464
9262812430
10116334900
115a739150
1232b63530
131b142926
141164415a
15a32e900
hex6ef2134

116334900 has 144 divisors (see below), whose sum is σ = 408098880. Its totient is φ = 28195200.

The previous prime is 116334899. The next prime is 116334941. The reversal of 116334900 is 9433611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27742 + ... + 31658.

It is an arithmetic number, because the mean of its divisors is an integer number (2834020).

Almost surely, 2116334900 is an apocalyptic number.

116334900 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 116334900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204049440).

116334900 is an abundant number, since it is smaller than the sum of its proper divisors (291763980).

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

116334900 is a wasteful number, since it uses less digits than its factorization.

116334900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 116334900 is about 10785.8657510651. The cubic root of 116334900 is about 488.1687862352.

It can be divided in two parts, 1163 and 34900, that added together give a palindrome (36063).

The spelling of 116334900 in words is "one hundred sixteen million, three hundred thirty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 3917 4950 5940 7425 7834 9900 11751 14850 15668 19585 23502 29700 35253 39170 43087 47004 58755 70506 78340 86174 97925 105759 117510 129261 141012 172348 176265 195850 211518 215435 235020 258522 293775 352530 387783 391700 423036 430870 517044 528795 587550 646305 705060 775566 861740 881325 1057590 1077175 1163349 1175100 1292610 1551132 1762650 1938915 2115180 2154350 2326698 2585220 2643975 3231525 3525300 3877830 4308700 4653396 5287950 5816745 6463050 7755660 9694575 10575900 11633490 12926100 19389150 23266980 29083725 38778300 58167450 116334900