Search a number
-
+
129934000 = 245379281
BaseRepresentation
bin1111011111010…
…10001010110000
3100001111022221101
413233222022300
5231230342000
620520534144
73135264220
oct757521260
9301438841
10129934000
1167387379
1237621354
1320bc4731
1413384080
15b618e6a
hex7bea2b0

129934000 has 80 divisors (see below), whose sum is σ = 359102016. Its totient is φ = 44544000.

The previous prime is 129933997. The next prime is 129934031. The reversal of 129934000 is 439921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 129934000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9360 + ... + 18640.

Almost surely, 2129934000 is an apocalyptic number.

129934000 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 129934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179551008).

129934000 is an abundant number, since it is smaller than the sum of its proper divisors (229168016).

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

129934000 is an equidigital number, since it uses as much as digits as its factorization.

129934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 129934000 is about 11398.8595920820. The cubic root of 129934000 is about 506.4939585254.

The spelling of 129934000 in words is "one hundred twenty-nine million, nine hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 9281 14000 18562 37124 46405 64967 74248 92810 129934 148496 185620 232025 259868 324835 371240 464050 519736 649670 742480 928100 1039472 1160125 1299340 1624175 1856200 2320250 2598680 3248350 3712400 4640500 5197360 6496700 8120875 9281000 12993400 16241750 18562000 25986800 32483500 64967000 129934000