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129481506 = 232711103907
BaseRepresentation
bin1111011011110…
…11101100100010
3100000122100020100
413231323230202
5231121402011
620503123230
73131401050
oct755735442
9300570210
10129481506
11670a8410
1237443516
1320a9679b
14132a71d0
15b579d56
hex7b7bb22

129481506 has 96 divisors (see below), whose sum is σ = 353553408. Its totient is φ = 33268320.

The previous prime is 129481489. The next prime is 129481507. The reversal of 129481506 is 605184921.

129481506 is a `hidden beast` number, since 129 + 481 + 50 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (129481507) by changing a digit.

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, 142305 + ... + 143211.

It is an arithmetic number, because the mean of its divisors is an integer number (3682848).

Almost surely, 2129481506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129481506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176776704).

129481506 is an abundant number, since it is smaller than the sum of its proper divisors (224071902).

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

129481506 is a wasteful number, since it uses less digits than its factorization.

129481506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 129481506 is about 11378.9940680185. The cubic root of 129481506 is about 505.9053211181.

The spelling of 129481506 in words is "one hundred twenty-nine million, four hundred eighty-one thousand, five hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 103 126 154 198 206 231 309 462 618 693 721 907 927 1133 1386 1442 1814 1854 2163 2266 2721 3399 4326 5442 6349 6489 6798 7931 8163 9977 10197 12698 12978 15862 16326 19047 19954 20394 23793 29931 38094 47586 57141 59862 69839 71379 89793 93421 114282 139678 142758 179586 186842 209517 280263 419034 560526 628551 653947 840789 1027631 1257102 1307894 1681578 1961841 2055262 3082893 3923682 5885523 6165786 7193417 9248679 11771046 14386834 18497358 21580251 43160502 64740753 129481506