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134011560 = 233519531109
BaseRepresentation
bin1111111110011…
…01101010101000
3100100011111022010
413333031222220
5233301332220
621144155520
73215036154
oct777155250
9310144263
10134011560
1169711961
1238a68ba0
13219c16a7
1413b26064
15bb721e0
hex7fcdaa8

134011560 has 128 divisors (see below), whose sum is σ = 431568000. Its totient is φ = 33186816.

The previous prime is 134011531. The next prime is 134011567. The reversal of 134011560 is 65110431.

It is not an unprimeable number, because it can be changed into a prime (134011567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120286 + ... + 121394.

It is an arithmetic number, because the mean of its divisors is an integer number (3371625).

Almost surely, 2134011560 is an apocalyptic number.

134011560 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 134011560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215784000).

134011560 is an abundant number, since it is smaller than the sum of its proper divisors (297556440).

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

134011560 is a wasteful number, since it uses less digits than its factorization.

134011560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 134011560 is about 11576.3362079718. The cubic root of 134011560 is about 511.7377094865.

Adding to 134011560 its reverse (65110431), we get a palindrome (199121991).

The spelling of 134011560 in words is "one hundred thirty-four million, eleven thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 53 57 60 76 95 106 114 120 152 159 190 212 228 265 285 318 380 424 456 530 570 636 760 795 1007 1060 1109 1140 1272 1590 2014 2120 2218 2280 3021 3180 3327 4028 4436 5035 5545 6042 6360 6654 8056 8872 10070 11090 12084 13308 15105 16635 20140 21071 22180 24168 26616 30210 33270 40280 42142 44360 58777 60420 63213 66540 84284 105355 117554 120840 126426 133080 168568 176331 210710 235108 252852 293885 316065 352662 421420 470216 505704 587770 632130 705324 842840 881655 1116763 1175540 1264260 1410648 1763310 2233526 2351080 2528520 3350289 3526620 4467052 5583815 6700578 7053240 8934104 11167630 13401156 16751445 22335260 26802312 33502890 44670520 67005780 134011560