Search a number
-
+
129037720 = 23575973107
BaseRepresentation
bin1111011000011…
…11010110011000
322222210210110211
413230033112120
5231013201340
620445420504
73124542160
oct754172630
9288723424
10129037720
1166924a49
123726a734
132096c7a6
14131cd5a0
15b4dd5ea
hex7b0f598

129037720 has 128 divisors (see below), whose sum is σ = 345254400. Its totient is φ = 42494976.

The previous prime is 129037691. The next prime is 129037747. The reversal of 129037720 is 27730921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1205907 + ... + 1206013.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2129037720 is an apocalyptic number.

129037720 is a gapful number since it is divisible by the number (10) 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 129037720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172627200).

129037720 is an abundant number, since it is smaller than the sum of its proper divisors (216216680).

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

129037720 is a wasteful number, since it uses less digits than its factorization.

129037720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 129037720 is about 11359.4771006416. The cubic root of 129037720 is about 505.3266781511.

The spelling of 129037720 in words is "one hundred twenty-nine million, thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 73 107 118 140 146 214 236 280 292 295 365 413 428 472 511 535 584 590 730 749 826 856 1022 1070 1180 1460 1498 1652 2044 2065 2140 2360 2555 2920 2996 3304 3745 4088 4130 4280 4307 5110 5992 6313 7490 7811 8260 8614 10220 12626 14980 15622 16520 17228 20440 21535 25252 29960 30149 31244 31565 34456 39055 43070 44191 50504 54677 60298 62488 63130 78110 86140 88382 109354 120596 126260 150745 156220 172280 176764 218708 220955 241192 252520 273385 301490 312440 353528 437416 441910 460849 546770 602980 883820 921698 1093540 1205960 1767640 1843396 2187080 2304245 3225943 3686792 4608490 6451886 9216980 12903772 16129715 18433960 25807544 32259430 64518860 129037720