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134295720 = 233513312777
BaseRepresentation
bin10000000000100…
…11000010101000
3100100200221002120
420000103002220
5233334430340
621154231240
73220331466
oct1000230250
9310627076
10134295720
11698963a9
1238b85520
1321a90b30
1413b9b836
15bbcb4d0
hex80130a8

134295720 has 128 divisors (see below), whose sum is σ = 448035840. Its totient is φ = 31979520.

The previous prime is 134295713. The next prime is 134295727. The reversal of 134295720 is 27592431.

It is an interprime number because it is at equal distance from previous prime (134295713) and next prime (134295727).

It is not an unprimeable number, because it can be changed into a prime (134295727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46972 + ... + 49748.

It is an arithmetic number, because the mean of its divisors is an integer number (3500280).

Almost surely, 2134295720 is an apocalyptic number.

134295720 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 134295720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224017920).

134295720 is an abundant number, since it is smaller than the sum of its proper divisors (313740120).

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

134295720 is a wasteful number, since it uses less digits than its factorization.

134295720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 134295720 is about 11588.6030219350. The cubic root of 134295720 is about 512.0991527534.

The spelling of 134295720 in words is "one hundred thirty-four million, two hundred ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 2777 3224 3720 4030 4836 5554 6045 8060 8331 9672 11108 12090 13885 16120 16662 22216 24180 27770 33324 36101 41655 48360 55540 66648 72202 83310 86087 108303 111080 144404 166620 172174 180505 216606 258261 288808 333240 344348 361010 430435 433212 516522 541515 688696 722020 860870 866424 1033044 1083030 1119131 1291305 1444040 1721740 2066088 2166060 2238262 2582610 3357393 3443480 4332120 4476524 5165220 5595655 6714786 8953048 10330440 11191310 13429572 16786965 22382620 26859144 33573930 44765240 67147860 134295720