Search a number
-
+
129038805 = 3357219507
BaseRepresentation
bin1111011000011…
…11100111010101
322222210211222000
413230033213111
5231013220210
620445425513
73124545300
oct754174725
9288724860
10129038805
1166925845
123726b299
132097012c
14131cdb37
15b4ddac0
hex7b0f9d5

129038805 has 48 divisors (see below), whose sum is σ = 266869440. Its totient is φ = 58986144.

The previous prime is 129038783. The next prime is 129038813. The reversal of 129038805 is 508830921.

It is not a de Polignac number, because 129038805 - 29 = 129038293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 129038805.

It is a congruent number.

It is an unprimeable number.

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, 3139 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (5559780).

Almost surely, 2129038805 is an apocalyptic number.

129038805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129038805 is an abundant number, since it is smaller than the sum of its proper divisors (137830635).

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

129038805 is a wasteful number, since it uses less digits than its factorization.

129038805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19522 counting only the distinct ones).

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

The square root of 129038805 is about 11359.5248580211. The cubic root of 129038805 is about 505.3280944757.

The spelling of 129038805 in words is "one hundred twenty-nine million, thirty-eight thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 19507 58521 97535 136549 175563 292605 409647 526689 682745 877815 955843 1228941 2048235 2633445 2867529 3686823 4779215 6144705 8602587 14337645 18434115 25807761 43012935 129038805