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116881324 = 227174153113
BaseRepresentation
bin1101111011101…
…11011110101100
322010221012000221
412331313132230
5214410200244
615333101124
72616321610
oct675673654
9263835027
10116881324
115aa8173a
12331877a4
131b2a4561
1411747340
15a3db784
hex6f777ac

116881324 has 96 divisors (see below), whose sum is σ = 260620416. Its totient is φ = 44728320.

The previous prime is 116881321. The next prime is 116881327. The reversal of 116881324 is 423188611.

It is an interprime number because it is at equal distance from previous prime (116881321) and next prime (116881327).

It is a super-2 number, since 2×1168813242 = 27322487799985952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 116881324.

It is not an unprimeable number, because it can be changed into a prime (116881321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034292 + ... + 1034404.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2116881324 is an apocalyptic number.

116881324 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 116881324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208).

116881324 is an abundant number, since it is smaller than the sum of its proper divisors (143739092).

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

116881324 is a wasteful number, since it uses less digits than its factorization.

116881324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 116881324 is about 10811.1666345497. The cubic root of 116881324 is about 488.9319008607.

The spelling of 116881324 in words is "one hundred sixteen million, eight hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 41 53 68 82 106 113 119 164 212 226 238 287 371 452 476 574 697 742 791 901 1148 1394 1484 1582 1802 1921 2173 2788 3164 3604 3842 4346 4633 4879 5989 6307 7684 8692 9266 9758 11978 12614 13447 15211 18532 19516 23956 25228 26894 30422 32431 36941 41923 53788 60844 64862 73882 78761 83846 101813 129724 147764 157522 167692 203626 245549 258587 315044 407252 491098 517174 551327 712691 982196 1034348 1102654 1425382 1718843 2205308 2850764 3437686 4174333 6875372 8348666 16697332 29220331 58440662 116881324