[go: up one dir, main page]

Search a number
-
+
110542014 = 232113779191
BaseRepresentation
bin1101001011010…
…11110010111110
321201000010010200
412211223302332
5211244321024
614545144330
72511406632
oct645536276
9251003120
10110542014
1157441940
123102b0a6
1319b94c9b
1410976dc2
159a882c9
hex696bcbe

110542014 has 96 divisors (see below), whose sum is σ = 273162240. Its totient is φ = 32011200.

The previous prime is 110541967. The next prime is 110542039. The reversal of 110542014 is 410245011.

110542014 is a `hidden beast` number, since 110 + 542 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 578659 + ... + 578849.

It is an arithmetic number, because the mean of its divisors is an integer number (2845440).

Almost surely, 2110542014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110542014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136581120).

110542014 is an abundant number, since it is smaller than the sum of its proper divisors (162620226).

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

110542014 is a wasteful number, since it uses less digits than its factorization.

110542014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 110542014 is about 10513.8962330812. The cubic root of 110542014 is about 479.9276713934.

Adding to 110542014 its reverse (410245011), we get a palindrome (520787025).

The spelling of 110542014 in words is "one hundred ten million, five hundred forty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 79 99 111 158 191 198 222 237 333 382 407 474 573 666 711 814 869 1146 1221 1422 1719 1738 2101 2442 2607 2923 3438 3663 4202 5214 5846 6303 7067 7326 7821 8769 12606 14134 15089 15642 17538 18909 21201 26307 30178 32153 37818 42402 45267 52614 63603 64306 77737 90534 96459 127206 135801 155474 165979 192918 233211 271602 289377 331958 466422 497937 558293 578754 699633 995874 1116586 1399266 1493811 1674879 2987622 3349758 5024637 6141223 10049274 12282446 18423669 36847338 55271007 110542014