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134112240 = 24335292141
BaseRepresentation
bin1111111111001…
…10001111110000
3100100100121102000
413333212033300
5233313042430
621150254000
73215635533
oct777461760
9310317360
10134112240
1169780569
1238ab7300
1321a28472
1413b50a1a
15bb91e60
hex7fe63f0

134112240 has 160 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 34513920.

The previous prime is 134112229. The next prime is 134112257. The reversal of 134112240 is 42211431.

134112240 is a `hidden beast` number, since 13 + 411 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61570 + ... + 63710.

It is an arithmetic number, because the mean of its divisors is an integer number (2988090).

Almost surely, 2134112240 is an apocalyptic number.

134112240 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 134112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

134112240 is an abundant number, since it is smaller than the sum of its proper divisors (343982160).

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

134112240 is a wasteful number, since it uses less digits than its factorization.

134112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134112240 is about 11580.6839176277. The cubic root of 134112240 is about 511.8658299153.

Adding to 134112240 its reverse (42211431), we get a palindrome (176323671).

It can be divided in two parts, 13411 and 2240, that added together give a palindrome (15651).

The spelling of 134112240 in words is "one hundred thirty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2141 2160 2320 2610 3132 3480 3915 4176 4282 5220 6264 6423 6960 7830 8564 10440 10705 12528 12846 15660 17128 19269 20880 21410 25692 31320 32115 34256 38538 42820 51384 57807 62089 62640 64230 77076 85640 96345 102768 115614 124178 128460 154152 171280 186267 192690 231228 248356 256920 289035 308304 310445 372534 385380 462456 496712 513840 558801 578070 620890 745068 770760 924912 931335 993424 1117602 1156140 1241780 1490136 1541520 1676403 1862670 2235204 2312280 2483560 2794005 2980272 3352806 3725340 4470408 4624560 4967120 5588010 6705612 7450680 8382015 8940816 11176020 13411224 14901360 16764030 22352040 26822448 33528060 44704080 67056120 134112240