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134646720 = 26351310789
BaseRepresentation
bin10000000011010…
…00101111000000
3100101100202120120
420001220233000
5233432143340
621205540240
73223323015
oct1001505700
9311322516
10134646720
116a00608a
1239114680
1321b84820
1413c4d70c
15bc4a4d0
hex8068bc0

134646720 has 112 divisors (see below), whose sum is σ = 460430880. Its totient is φ = 33140736.

The previous prime is 134646713. The next prime is 134646727. The reversal of 134646720 is 27646431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134646713) and next prime (134646727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134646727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7086 + ... + 17874.

It is an arithmetic number, because the mean of its divisors is an integer number (4110990).

Almost surely, 2134646720 is an apocalyptic number.

134646720 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 134646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230215440).

134646720 is an abundant number, since it is smaller than the sum of its proper divisors (325784160).

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

134646720 is a wasteful number, since it uses less digits than its factorization.

134646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 134646720 is about 11603.7373289816. The cubic root of 134646720 is about 512.5449113924.

The spelling of 134646720 in words is "one hundred thirty-four million, six hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 10789 12480 21578 32367 43156 53945 64734 86312 107890 129468 140257 161835 172624 215780 258936 280514 323670 345248 420771 431560 517872 561028 647340 690496 701285 841542 863120 1035744 1122056 1294680 1402570 1683084 1726240 2071488 2103855 2244112 2589360 2805140 3366168 3452480 4207710 4488224 5178720 5610280 6732336 8415420 8976448 10357440 11220560 13464672 16830840 22441120 26929344 33661680 44882240 67323360 134646720