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134073240 = 23357193827
BaseRepresentation
bin1111111110111…
…00101110011000
3100100021121220120
413333130232120
5233310320430
621145353240
73215414040
oct777345630
9310247816
10134073240
1169754234
1238a98820
1321a137a2
1413b40720
15bb85610
hex7fdcb98

134073240 has 128 divisors (see below), whose sum is σ = 462620160. Its totient is φ = 30449664.

The previous prime is 134073229. The next prime is 134073287. The reversal of 134073240 is 42370431.

It is a Cunningham number, because it is equal to 115792-1.

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 134073240.

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, 161707 + ... + 162533.

It is an arithmetic number, because the mean of its divisors is an integer number (3614220).

Almost surely, 2134073240 is an apocalyptic number.

134073240 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 134073240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231310080).

134073240 is an abundant number, since it is smaller than the sum of its proper divisors (328546920).

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

134073240 is a wasteful number, since it uses less digits than its factorization.

134073240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 134073240 is about 11578.9999568184. Note that the first 4 decimals coincide. The cubic root of 134073240 is about 511.8162080395.

The spelling of 134073240 in words is "one hundred thirty-four million, seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 193 210 280 386 420 579 772 827 840 965 1158 1351 1544 1654 1930 2316 2481 2702 2895 3308 3860 4053 4135 4632 4962 5404 5789 5790 6616 6755 7720 8106 8270 9924 10808 11578 11580 12405 13510 16212 16540 17367 19848 20265 23156 23160 24810 27020 28945 32424 33080 34734 40530 46312 49620 54040 57890 69468 81060 86835 99240 115780 138936 159611 162120 173670 231560 319222 347340 478833 638444 694680 798055 957666 1117277 1276888 1596110 1915332 2234554 2394165 3192220 3351831 3830664 4469108 4788330 5586385 6384440 6703662 8938216 9576660 11172770 13407324 16759155 19153320 22345540 26814648 33518310 44691080 67036620 134073240