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134061360 = 24353137487
BaseRepresentation
bin1111111110110…
…01110100110000
3100100021000121120
413333121310300
5233304430420
621145222240
73215334306
oct777316460
9310230546
10134061360
1169746314
1238a91980
1321a0b264
1413b3a276
15bb81d40
hex7fd9d30

134061360 has 160 divisors (see below), whose sum is σ = 441495552. Its totient is φ = 33592320.

The previous prime is 134061353. The next prime is 134061373. The reversal of 134061360 is 63160431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134061360.

It is an unprimeable number.

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, 275037 + ... + 275523.

Almost surely, 2134061360 is an apocalyptic number.

134061360 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 134061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220747776).

134061360 is an abundant number, since it is smaller than the sum of its proper divisors (307434192).

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

134061360 is a wasteful number, since it uses less digits than its factorization.

134061360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 134061360 is about 11578.4869477838. The cubic root of 134061360 is about 511.8010905407.

It can be divided in two parts, 134061 and 360, that added together give a triangular number (134421 = T518).

The spelling of 134061360 in words is "one hundred thirty-four million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 37 40 48 60 62 74 80 93 111 120 124 148 155 185 186 222 240 248 296 310 370 372 444 465 487 496 555 592 620 740 744 888 930 974 1110 1147 1240 1461 1480 1488 1776 1860 1948 2220 2294 2435 2480 2922 2960 3441 3720 3896 4440 4588 4870 5735 5844 6882 7305 7440 7792 8880 9176 9740 11470 11688 13764 14610 15097 17205 18019 18352 19480 22940 23376 27528 29220 30194 34410 36038 38960 45291 45880 54057 55056 58440 60388 68820 72076 75485 90095 90582 91760 108114 116880 120776 137640 144152 150970 180190 181164 216228 226455 241552 270285 275280 288304 301940 360380 362328 432456 452910 540570 558589 603880 720760 724656 864912 905820 1081140 1117178 1207760 1441520 1675767 1811640 2162280 2234356 2792945 3351534 3623280 4324560 4468712 5585890 6703068 8378835 8937424 11171780 13406136 16757670 22343560 26812272 33515340 44687120 67030680 134061360