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134367240 = 23357198419
BaseRepresentation
bin10000000001001…
…00100000001000
3100100211120012110
420000210200020
5233344222430
621155542320
73221050140
oct1000444010
9310746173
10134367240
1169935107
1238bba9a0
1321ab7557
1413bb9920
15bbe27b0
hex8024808

134367240 has 128 divisors (see below), whose sum is σ = 484992000. Its totient is φ = 29092608.

The previous prime is 134367223. The next prime is 134367251. The reversal of 134367240 is 42763431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134367198 and 134367207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11751 + ... + 20169.

It is an arithmetic number, because the mean of its divisors is an integer number (3789000).

Almost surely, 2134367240 is an apocalyptic number.

134367240 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 134367240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242496000).

134367240 is an abundant number, since it is smaller than the sum of its proper divisors (350624760).

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

134367240 is a wasteful number, since it uses less digits than its factorization.

134367240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 134367240 is about 11591.6884016091. The cubic root of 134367240 is about 512.1900437901.

The spelling of 134367240 in words is "one hundred thirty-four million, three hundred sixty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 8419 15960 16838 25257 33676 42095 50514 58933 67352 84190 101028 117866 126285 159961 168380 176799 202056 235732 252570 294665 319922 336760 353598 471464 479883 505140 589330 639844 707196 799805 883995 959766 1010280 1119727 1178660 1279688 1414392 1599610 1767990 1919532 2239454 2357320 2399415 3199220 3359181 3535980 3839064 4478908 4798830 5598635 6398440 6718362 7071960 8957816 9597660 11197270 13436724 16795905 19195320 22394540 26873448 33591810 44789080 67183620 134367240