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129401064 = 23341315361
BaseRepresentation
bin1111011011010…
…00000011101000
3100000111020220000
413231220003220
5231111313224
620501303000
73130614402
oct755500350
9300436800
10129401064
1167052a31
1237404a60
1320a68ca0
1413285b72
15b5610c9
hex7b680e8

129401064 has 80 divisors (see below), whose sum is σ = 390348420. Its totient is φ = 39813120.

The previous prime is 129401029. The next prime is 129401071. The reversal of 129401064 is 460104921.

It can be written as a sum of positive squares in 2 ways, for example, as 129004164 + 396900 = 11358^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 744 + ... + 16104.

Almost surely, 2129401064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129401064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195174210).

129401064 is an abundant number, since it is smaller than the sum of its proper divisors (260947356).

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

129401064 is a wasteful number, since it uses less digits than its factorization.

129401064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15392 (or 15379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 129401064 is about 11375.4588478883. The cubic root of 129401064 is about 505.8005327519.

Adding to 129401064 its reverse (460104921), we get a palindrome (589505985).

The spelling of 129401064 in words is "one hundred twenty-nine million, four hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 15361 30722 46083 61444 92166 122888 138249 184332 199693 276498 368664 399386 414747 552996 599079 798772 829494 1105992 1198158 1244241 1597544 1658988 1797237 2396316 2488482 3317976 3594474 4792632 4976964 5391711 7188948 9953928 10783422 14377896 16175133 21566844 32350266 43133688 64700532 129401064