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129129840 = 24325725621
BaseRepresentation
bin1111011001001…
…01110101110000
322222222110211200
413230211311300
5231024123330
620451411200
73125404560
oct754456560
9288873750
10129129840
1166988184
12372b3b00
13209a26b8
1413214da0
15b50aa60
hex7b25d70

129129840 has 120 divisors (see below), whose sum is σ = 495631968. Its totient is φ = 29514240.

The previous prime is 129129839. The next prime is 129129851. The reversal of 129129840 is 48921921.

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 junction number, because it is equal to n+sod(n) for n = 129129795 and 129129804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7771 + ... + 17850.

Almost surely, 2129129840 is an apocalyptic number.

129129840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129129840 is an abundant number, since it is smaller than the sum of its proper divisors (366502128).

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

129129840 is a wasteful number, since it uses less digits than its factorization.

129129840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25647 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 129129840 is about 11363.5311413310. The cubic root of 129129840 is about 505.4469004150.

The spelling of 129129840 in words is "one hundred twenty-nine million, one hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25621 51242 76863 102484 128105 153726 179347 204968 230589 256210 307452 358694 384315 409936 461178 512420 538041 614904 717388 768630 896735 922356 1024840 1076082 1152945 1229808 1434776 1537260 1614123 1793470 1844712 2049680 2152164 2305890 2690205 2869552 3074520 3228246 3586940 3689424 4304328 4611780 5380410 6149040 6456492 7173880 8070615 8608656 9223560 10760820 12912984 14347760 16141230 18447120 21521640 25825968 32282460 43043280 64564920 129129840