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134042040 = 23345113761
BaseRepresentation
bin1111111110101…
…01000110111000
3100100020001010000
413333111012320
5233303321130
621144553000
73215224056
oct777250670
9310201100
10134042040
1169732850
1238a82760
1321a02522
1413b331d6
15bb7b260
hex7fd51b8

134042040 has 160 divisors (see below), whose sum is σ = 491618160. Its totient is φ = 32486400.

The previous prime is 134042021. The next prime is 134042057. The reversal of 134042040 is 40240431.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 33760 + ... + 37520.

Almost surely, 2134042040 is an apocalyptic number.

134042040 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 134042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245809080).

134042040 is an abundant number, since it is smaller than the sum of its proper divisors (357576120).

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

134042040 is a wasteful number, since it uses less digits than its factorization.

134042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134042040 is about 11577.6526118208. The cubic root of 134042040 is about 511.7765036100.

Adding to 134042040 its reverse (40240431), we get a palindrome (174282471).

The spelling of 134042040 in words is "one hundred thirty-four million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3761 3960 4455 5940 7128 7522 8910 11283 11880 15044 17820 18805 22566 30088 33849 35640 37610 41371 45132 56415 67698 75220 82742 90264 101547 112830 124113 135396 150440 165484 169245 203094 206855 225660 248226 270792 304641 330968 338490 372339 406188 413710 451320 496452 507735 609282 620565 676980 744678 812376 827420 992904 1015470 1117017 1218564 1241130 1353960 1489356 1523205 1654840 1861695 2030940 2234034 2437128 2482260 2978712 3046410 3351051 3723390 4061880 4468068 4964520 5585085 6092820 6702102 7446780 8936136 11170170 12185640 13404204 14893560 16755255 22340340 26808408 33510510 44680680 67021020 134042040