Search a number
-
+
113061816 = 23327273439
BaseRepresentation
bin1101011110100…
…10111110111000
321212202010122200
412233102332320
5212420434231
615115150200
72542003200
oct657227670
9255663580
10113061816
115890301a
1231a45360
131a567baa
1411031400
159dd4be6
hex6bd2fb8

113061816 has 144 divisors (see below), whose sum is σ = 361904400. Its totient is φ = 31788288.

The previous prime is 113061797. The next prime is 113061821. The reversal of 113061816 is 618160311.

113061816 is a `hidden beast` number, since 1 + 1 + 30 + 618 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113061816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257325 + ... + 257763.

It is an arithmetic number, because the mean of its divisors is an integer number (2513225).

Almost surely, 2113061816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113061816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180952200).

113061816 is an abundant number, since it is smaller than the sum of its proper divisors (248842584).

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

113061816 is a wasteful number, since it uses less digits than its factorization.

113061816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113061816 is about 10633.0529952596. The cubic root of 113061816 is about 483.5469544282.

The spelling of 113061816 in words is "one hundred thirteen million, sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 73 84 98 126 146 147 168 196 219 252 292 294 392 438 439 441 504 511 584 588 657 876 878 882 1022 1176 1314 1317 1533 1752 1756 1764 2044 2628 2634 3066 3073 3512 3528 3577 3951 4088 4599 5256 5268 6132 6146 7154 7902 9198 9219 10536 10731 12264 12292 14308 15804 18396 18438 21462 21511 24584 27657 28616 31608 32047 32193 36792 36876 42924 43022 55314 64094 64386 64533 73752 85848 86044 96141 110628 128188 128772 129066 172088 192282 193599 221256 224329 256376 257544 258132 288423 384564 387198 448658 516264 576846 672987 769128 774396 897316 1153692 1345974 1548792 1570303 1794632 2018961 2307384 2691948 3140606 4037922 4710909 5383896 6281212 8075844 9421818 12562424 14132727 16151688 18843636 28265454 37687272 56530908 113061816