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116005340 = 22511539949
BaseRepresentation
bin1101110101000…
…01100111011100
322002021200102002
412322201213130
5214144132330
615302221432
72606012663
oct672414734
9262250362
10116005340
115a533590
1232a24878
131b058919
1411599dda
15a2b6e45
hex6ea19dc

116005340 has 48 divisors (see below), whose sum is σ = 270799200. Its totient is φ = 41383680.

The previous prime is 116005327. The next prime is 116005343. The reversal of 116005340 is 43500611.

It is a super-3 number, since 3×1160053403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116005343) 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, 6686 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (5641650).

Almost surely, 2116005340 is an apocalyptic number.

116005340 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 116005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135399600).

116005340 is an abundant number, since it is smaller than the sum of its proper divisors (154793860).

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

116005340 is a wasteful number, since it uses less digits than its factorization.

116005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 116005340 is about 10770.5775146925. The cubic root of 116005340 is about 487.7073796633.

Adding to 116005340 its reverse (43500611), we get a palindrome (159505951).

The spelling of 116005340 in words is "one hundred sixteen million, five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 9949 11660 19898 39796 49745 99490 109439 198980 218878 437756 527297 547195 1054594 1094390 2109188 2188780 2636485 5272970 5800267 10545940 11600534 23201068 29001335 58002670 116005340