Search a number
-
+
104131188 = 2232717109223
BaseRepresentation
bin1100011010011…
…10101001110100
321020221102010200
412031032221310
5203124144223
614155520500
72403046320
oct615165164
9236842120
10104131188
1153863337
122aa59130
131875bcb5
14db88980
15921da43
hex634ea74

104131188 has 144 divisors (see below), whose sum is σ = 322882560. Its totient is φ = 27620352.

The previous prime is 104131187. The next prime is 104131211. The reversal of 104131188 is 881131401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104131187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466845 + ... + 467067.

It is an arithmetic number, because the mean of its divisors is an integer number (2242240).

Almost surely, 2104131188 is an apocalyptic number.

104131188 is a gapful number since it is divisible by the number (18) 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 104131188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161441280).

104131188 is an abundant number, since it is smaller than the sum of its proper divisors (218751372).

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

104131188 is a wasteful number, since it uses less digits than its factorization.

104131188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 104131188 is about 10204.4690209731. The cubic root of 104131188 is about 470.4645896489.

Adding to 104131188 its reverse (881131401), we get a palindrome (985262589).

The spelling of 104131188 in words is "one hundred four million, one hundred thirty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 109 119 126 153 204 218 223 238 252 306 327 357 436 446 476 612 654 669 714 763 892 981 1071 1308 1338 1428 1526 1561 1853 1962 2007 2142 2289 2676 3052 3122 3706 3791 3924 4014 4284 4578 4683 5559 6244 6867 7412 7582 8028 9156 9366 11118 11373 12971 13734 14049 15164 16677 18732 22236 22746 24307 25942 26537 27468 28098 33354 34119 38913 45492 48614 51884 53074 56196 66708 68238 72921 77826 79611 97228 106148 116739 136476 145842 155652 159222 170149 218763 233478 238833 291684 318444 340298 413219 437526 466956 477666 510447 680596 826438 875052 955332 1020894 1239657 1531341 1652876 2041788 2479314 2892533 3062682 3718971 4958628 5785066 6125364 7437942 8677599 11570132 14875884 17355198 26032797 34710396 52065594 104131188