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135718310 = 257131731283
BaseRepresentation
bin10000001011011…
…10010110100110
3100110101012112002
420011232112212
5234220441220
621244525302
73235405130
oct1005562646
9313335462
10135718310
116a6781a2
1239550832
132216b4c0
141404c050
15bdacc75
hex816e5a6

135718310 has 128 divisors (see below), whose sum is σ = 329785344. Its totient is φ = 38983680.

The previous prime is 135718309. The next prime is 135718321. The reversal of 135718310 is 13817531.

It is a super-2 number, since 2×1357183102 = 36838919338512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479429 + ... + 479711.

It is an arithmetic number, because the mean of its divisors is an integer number (2576448).

Almost surely, 2135718310 is an apocalyptic number.

135718310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135718310 is an abundant number, since it is smaller than the sum of its proper divisors (194067034).

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

135718310 is a wasteful number, since it uses less digits than its factorization.

135718310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 135718310 is about 11649.8201702859. The cubic root of 135718310 is about 513.9010215830.

The spelling of 135718310 in words is "one hundred thirty-five million, seven hundred eighteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 17 26 31 34 35 62 65 70 85 91 119 130 155 170 182 217 221 238 283 310 403 434 442 455 527 566 595 806 910 1054 1085 1105 1190 1415 1547 1981 2015 2170 2210 2635 2821 2830 3094 3679 3689 3962 4030 4811 5270 5642 6851 7358 7378 7735 8773 9622 9905 13702 14105 15470 17546 18395 18445 19810 24055 25753 28210 33677 34255 36790 36890 43865 47957 48110 51506 61411 62543 67354 68510 87730 95914 114049 122822 125086 128765 149141 168385 228098 239785 257530 298282 307055 312715 336770 437801 479570 570245 614110 625430 745705 798343 875602 1043987 1140490 1491410 1596686 1938833 2087974 2189005 3877666 3991715 4378010 5219935 7983430 9694165 10439870 13571831 19388330 27143662 67859155 135718310