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135711450 = 2345274787
BaseRepresentation
bin10000001011011…
…00101011011010
3100110100212010000
420011230223122
5234220231300
621244433430
73235346130
oct1005545332
9313325100
10135711450
116a673026
1239548876
1322168344
1414049750
15bdaac00
hex816cada

135711450 has 120 divisors (see below), whose sum is σ = 431034912. Its totient is φ = 31013280.

The previous prime is 135711403. The next prime is 135711451. The reversal of 135711450 is 54117531.

It is a super-2 number, since 2×1357114502 = 36835195322205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135711451) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 25957 + ... + 30743.

Almost surely, 2135711450 is an apocalyptic number.

135711450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135711450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

135711450 is an abundant number, since it is smaller than the sum of its proper divisors (295323462).

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

135711450 is a wasteful number, since it uses less digits than its factorization.

135711450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 135711450 is about 11649.5257414197. The cubic root of 135711450 is about 513.8923629124.

Adding to 135711450 its reverse (54117531), we get a palindrome (189828981).

It can be divided in two parts, 135711 and 450, that added together give a square (136161 = 3692).

The spelling of 135711450 in words is "one hundred thirty-five million, seven hundred eleven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2025 2835 3150 4050 4725 4787 5670 9450 9574 14175 14361 23935 28350 28722 33509 43083 47870 67018 71805 86166 100527 119675 129249 143610 167545 201054 215415 239350 258498 301581 335090 359025 387747 430830 502635 603162 646245 718050 775494 837725 904743 1005270 1077075 1292490 1507905 1675450 1809486 1938735 2154150 2513175 2714229 3015810 3231225 3877470 4523715 5026350 5428458 6462450 7539525 9047430 9693675 13571145 15079050 19387350 22618575 27142290 45237150 67855725 135711450