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135431450 = 252711291213
BaseRepresentation
bin10000001001010…
…00010100011010
3100102211122000122
420010220110122
5234132301300
621234433242
73233101610
oct1004502432
9312748018
10135431450
116a4a1720
1239432822
132209aa6b
1413db56b0
15bd52c85
hex812851a

135431450 has 96 divisors (see below), whose sum is σ = 325157760. Its totient is φ = 40723200.

The previous prime is 135431431. The next prime is 135431473. The reversal of 135431450 is 54134531.

135431450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111044 + ... + 112256.

It is an arithmetic number, because the mean of its divisors is an integer number (3387060).

Almost surely, 2135431450 is an apocalyptic number.

135431450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135431450 is an abundant number, since it is smaller than the sum of its proper divisors (189726310).

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

135431450 is a wasteful number, since it uses less digits than its factorization.

135431450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 135431450 is about 11637.5018796991. The cubic root of 135431450 is about 513.5386984940.

Adding to 135431450 its reverse (54134531), we get a palindrome (189565981).

The spelling of 135431450 in words is "one hundred thirty-five million, four hundred thirty-one thousand, four hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 29 35 50 55 58 70 77 110 145 154 175 203 275 290 319 350 385 406 550 638 725 770 1015 1213 1450 1595 1925 2030 2233 2426 3190 3850 4466 5075 6065 7975 8491 10150 11165 12130 13343 15950 16982 22330 26686 30325 35177 42455 55825 60650 66715 70354 84910 93401 111650 133430 175885 186802 212275 246239 333575 351770 386947 424550 467005 492478 667150 773894 879425 934010 1231195 1758850 1934735 2335025 2462390 2708629 3869470 4670050 5417258 6155975 9673675 12311950 13543145 19347350 27086290 67715725 135431450