Search a number
-
+
129389112 = 23324153827
BaseRepresentation
bin1111011011001…
…01001000111000
3100000110122111100
413231211020320
5231110422422
620501131400
73130534506
oct755451070
9300418440
10129389112
1167044a56
12373b9b60
1320a63708
1413281676
15b55c7ac
hex7b65238

129389112 has 96 divisors (see below), whose sum is σ = 366191280. Its totient is φ = 41233920.

The previous prime is 129389089. The next prime is 129389119. The reversal of 129389112 is 211983921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129389119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156043 + ... + 156869.

Almost surely, 2129389112 is an apocalyptic number.

129389112 is a gapful number since it is divisible by the number (12) 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 129389112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183095640).

129389112 is an abundant number, since it is smaller than the sum of its proper divisors (236802168).

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

129389112 is a wasteful number, since it uses less digits than its factorization.

129389112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 129389112 is about 11374.9334943111. The cubic root of 129389112 is about 505.7849596855.

The spelling of 129389112 in words is "one hundred twenty-nine million, three hundred eighty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 53 72 82 106 123 159 164 212 246 318 328 369 424 477 492 636 738 827 954 984 1272 1476 1654 1908 2173 2481 2952 3308 3816 4346 4962 6519 6616 7443 8692 9924 13038 14886 17384 19557 19848 26076 29772 33907 39114 43831 52152 59544 67814 78228 87662 101721 131493 135628 156456 175324 203442 262986 271256 305163 350648 394479 406884 525972 610326 788958 813768 1051944 1220652 1577916 1797071 2441304 3155832 3594142 5391213 7188284 10782426 14376568 16173639 21564852 32347278 43129704 64694556 129389112