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129342906 = 23471110369
BaseRepresentation
bin1111011010110…
…01110110111010
3100000101022010000
413231121312322
5231102433111
620500133430
73130253010
oct755316672
9300338100
10129342906
1167013270
1237397276
1320a48684
141326c8b0
15b54dc56
hex7b59dba

129342906 has 80 divisors (see below), whose sum is σ = 361373760. Its totient is φ = 33592320.

The previous prime is 129342887. The next prime is 129342907. The reversal of 129342906 is 609243921.

It is not an unprimeable number, because it can be changed into a prime (129342907) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7290 + ... + 17658.

It is an arithmetic number, because the mean of its divisors is an integer number (4517172).

Almost surely, 2129342906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129342906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180686880).

129342906 is an abundant number, since it is smaller than the sum of its proper divisors (232030854).

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

129342906 is a wasteful number, since it uses less digits than its factorization.

129342906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10401 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 129342906 is about 11372.9022681108. The cubic root of 129342906 is about 505.7247457516.

The spelling of 129342906 in words is "one hundred twenty-nine million, three hundred forty-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 10369 12474 20738 31107 62214 72583 93321 114059 145166 186642 217749 228118 279963 342177 435498 559926 653247 684354 798413 839889 1026531 1306494 1596826 1679778 1959741 2053062 2395239 3079593 3919482 4790478 5879223 6159186 7185717 9238779 11758446 14371434 18477558 21557151 43114302 64671453 129342906