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129037680 = 24325277647
BaseRepresentation
bin1111011000011…
…11010101110000
322222210210102100
413230033111300
5231013201210
620445420400
73124542102
oct754172560
9288723370
10129037680
1166924a12
123726a700
132096c775
14131cd572
15b4dd5c0
hex7b0f570

129037680 has 120 divisors (see below), whose sum is σ = 435588192. Its totient is φ = 34232832.

The previous prime is 129037639. The next prime is 129037681. The reversal of 129037680 is 86730921.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129037681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199117 + ... + 199763.

Almost surely, 2129037680 is an apocalyptic number.

129037680 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 129037680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217794096).

129037680 is an abundant number, since it is smaller than the sum of its proper divisors (306550512).

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

129037680 is a wasteful number, since it uses less digits than its factorization.

129037680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 129037680 is about 11359.4753399970. The cubic root of 129037680 is about 505.3266259362.

The spelling of 129037680 in words is "one hundred twenty-nine million, thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 277 360 554 647 720 831 1108 1294 1385 1662 1941 2216 2493 2588 2770 3235 3324 3882 4155 4432 4986 5176 5540 5823 6470 6648 7764 8310 9705 9972 10352 11080 11646 12465 12940 13296 15528 16620 19410 19944 22160 23292 24930 25880 29115 31056 33240 38820 39888 46584 49860 51760 58230 66480 77640 93168 99720 116460 155280 179219 199440 232920 358438 465840 537657 716876 896095 1075314 1433752 1612971 1792190 2150628 2688285 2867504 3225942 3584380 4301256 5376570 6451884 7168760 8064855 8602512 10753140 12903768 14337520 16129710 21506280 25807536 32259420 43012560 64518840 129037680