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129791340 = 223257239431
BaseRepresentation
bin1111011110001…
…11010101101100
3100001020002020200
413233013111230
5231211310330
620513513500
73134131260
oct757072554
9301202220
10129791340
116729a178
1237572890
1320b74813
14133480a0
15b5dba60
hex7bc756c

129791340 has 144 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 29473920.

The previous prime is 129791339. The next prime is 129791351. The reversal of 129791340 is 43197921.

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

It is a junction number, because it is equal to n+sod(n) for n = 129791295 and 129791304.

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, 300925 + ... + 301355.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2129791340 is an apocalyptic number.

129791340 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 129791340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

129791340 is an abundant number, since it is smaller than the sum of its proper divisors (323082900).

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

129791340 is a wasteful number, since it uses less digits than its factorization.

129791340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 129791340 is about 11392.6002299738. The cubic root of 129791340 is about 506.3085236412.

The spelling of 129791340 in words is "one hundred twenty-nine million, seven hundred ninety-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 239 252 315 420 431 478 630 717 862 956 1195 1260 1293 1434 1673 1724 2151 2155 2390 2586 2868 3017 3346 3585 3879 4302 4310 4780 5019 5172 6034 6465 6692 7170 7758 8365 8604 8620 9051 10038 10755 12068 12930 14340 15057 15085 15516 16730 18102 19395 20076 21510 25095 25860 27153 30114 30170 33460 36204 38790 43020 45255 50190 54306 60228 60340 75285 77580 90510 100380 103009 108612 135765 150570 181020 206018 271530 301140 309027 412036 515045 543060 618054 721063 927081 1030090 1236108 1442126 1545135 1854162 2060180 2163189 2884252 3090270 3605315 3708324 4326378 4635405 6180540 6489567 7210630 8652756 9270810 10815945 12979134 14421260 18541620 21631890 25958268 32447835 43263780 64895670 129791340