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134927280 = 24325672797
BaseRepresentation
bin10000000101011…
…01001110110000
3100101220000102200
420002231032300
5234020133110
621215543200
73225601665
oct1002551660
9311800380
10134927280
116a187954
123922ab00
1321c52437
1413cc3a6c
15bca36c0
hex80ad3b0

134927280 has 120 divisors (see below), whose sum is σ = 460058352. Its totient is φ = 35430912.

The previous prime is 134927279. The next prime is 134927297. The reversal of 134927280 is 82729431.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46842 + ... + 49638.

Almost surely, 2134927280 is an apocalyptic number.

134927280 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 134927280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230029176).

134927280 is an abundant number, since it is smaller than the sum of its proper divisors (325131072).

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

134927280 is a wasteful number, since it uses less digits than its factorization.

134927280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 134927280 is about 11615.8202465431. The cubic root of 134927280 is about 512.9006567547.

The spelling of 134927280 in words is "one hundred thirty-four million, nine hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 2797 3015 3216 4020 4824 5360 5594 6030 8040 8391 9648 11188 12060 13985 16080 16782 22376 24120 25173 27970 33564 41955 44752 48240 50346 55940 67128 83910 100692 111880 125865 134256 167820 187399 201384 223760 251730 335640 374798 402768 503460 562197 671280 749596 936995 1006920 1124394 1499192 1686591 1873990 2013840 2248788 2810985 2998384 3373182 3747980 4497576 5621970 6746364 7495960 8432955 8995152 11243940 13492728 14991920 16865910 22487880 26985456 33731820 44975760 67463640 134927280