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135973740 = 22357437529
BaseRepresentation
bin10000001101011…
…00101101101100
3100110212011220110
420012230231230
5234302124430
621254220020
73240520620
oct1006545554
9313764813
10135973740
116a8320a1
1239654610
132222a846
14140b7180
15be0d7b0
hex81acb6c

135973740 has 96 divisors (see below), whose sum is σ = 445294080. Its totient is φ = 30352896.

The previous prime is 135973613. The next prime is 135973741. The reversal of 135973740 is 47379531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135973741) 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 31 ways as a sum of consecutive naturals, for example, 14296 + ... + 21824.

It is an arithmetic number, because the mean of its divisors is an integer number (4638480).

Almost surely, 2135973740 is an apocalyptic number.

135973740 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 135973740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222647040).

135973740 is an abundant number, since it is smaller than the sum of its proper divisors (309320340).

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

135973740 is a wasteful number, since it uses less digits than its factorization.

135973740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 135973740 is about 11660.7778471250. Note that the first 3 decimals coincide. The cubic root of 135973740 is about 514.2232170528.

The spelling of 135973740 in words is "one hundred thirty-five million, nine hundred seventy-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 7529 9030 15058 18060 22587 30116 37645 45174 52703 75290 90348 105406 112935 150580 158109 210812 225870 263515 316218 323747 451740 527030 632436 647494 790545 971241 1054060 1294988 1581090 1618735 1942482 2266229 3162180 3237470 3884964 4532458 4856205 6474940 6798687 9064916 9712410 11331145 13597374 19424820 22662290 27194748 33993435 45324580 67986870 135973740