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116338824 = 233271912149
BaseRepresentation
bin1101110111100…
…11000010001000
322002220121212100
412323303002020
5214240320244
615313313400
72611602150
oct673630210
9262817770
10116338824
115a741098
1232b65860
131b144654
1411645760
15a330b69
hex6ef3088

116338824 has 96 divisors (see below), whose sum is σ = 379080000. Its totient is φ = 31487616.

The previous prime is 116338813. The next prime is 116338847. The reversal of 116338824 is 428833611.

116338824 is a `hidden beast` number, since 11 + 633 + 8 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3502 + ... + 15650.

It is an arithmetic number, because the mean of its divisors is an integer number (3948750).

Almost surely, 2116338824 is an apocalyptic number.

116338824 is a gapful number since it is divisible by the number (14) 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 116338824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189540000).

116338824 is an abundant number, since it is smaller than the sum of its proper divisors (262741176).

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

116338824 is a wasteful number, since it uses less digits than its factorization.

116338824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12180 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 116338824 is about 10786.0476542615. The cubic root of 116338824 is about 488.1742748512.

The spelling of 116338824 in words is "one hundred sixteen million, three hundred thirty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 12149 24298 36447 48596 72894 85043 97192 109341 145788 170086 218682 230831 255129 291576 340172 437364 461662 510258 680344 692493 765387 874728 923324 1020516 1384986 1530774 1615817 1846648 2041032 2077479 2769972 3061548 3231634 4154958 4847451 5539944 6123096 6463268 8309916 9694902 12926536 14542353 16619832 19389804 29084706 38779608 58169412 116338824