Search a number
-
+
135571240 = 235722632
BaseRepresentation
bin10000001010010…
…10011100101000
3100110002201210001
420011022130220
5234201234430
621241432344
73234223300
oct1005123450
9313081701
10135571240
116a587752
123949b6b4
132211958c
1414010600
15bd7e3ca
hex814a728

135571240 has 72 divisors (see below), whose sum is σ = 356191290. Its totient is φ = 46304832.

The previous prime is 135571231. The next prime is 135571291. The reversal of 135571240 is 42175531.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 13557124 = 11046^2 + 3682^2 .

It is a super-2 number, since 2×1355712402 = 36759122230275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 135571199 and 135571208.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 515349 + ... + 515611.

Almost surely, 2135571240 is an apocalyptic number.

135571240 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 135571240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178095645).

135571240 is an abundant number, since it is smaller than the sum of its proper divisors (220620050).

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

135571240 is an equidigital number, since it uses as much as digits as its factorization.

135571240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 135571240 is about 11643.5063447400. The cubic root of 135571240 is about 513.7153263244.

The spelling of 135571240 in words is "one hundred thirty-five million, five hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 263 280 392 490 526 980 1052 1315 1841 1960 2104 2630 3682 5260 7364 9205 10520 12887 14728 18410 25774 36820 51548 64435 69169 73640 103096 128870 138338 257740 276676 345845 484183 515480 553352 691690 968366 1383380 1936732 2420915 2766760 3389281 3873464 4841830 6778562 9683660 13557124 16946405 19367320 27114248 33892810 67785620 135571240