Search a number
-
+
135602550 = 232522910391
BaseRepresentation
bin10000001010100…
…10000101110110
3100110011022201200
420011102011312
5234203240200
621242233330
73234413466
oct1005220566
9313138650
10135602550
116a5a9226
12394b5846
132212a8c5
141401bba6
15bd88800
hex8152176

135602550 has 72 divisors (see below), whose sum is σ = 376917840. Its totient is φ = 34910400.

The previous prime is 135602543. The next prime is 135602581. The reversal of 135602550 is 55206531.

135602550 is a `hidden beast` number, since 1 + 3 + 5 + 602 + 5 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7855 + ... + 18245.

It is an arithmetic number, because the mean of its divisors is an integer number (5234970).

Almost surely, 2135602550 is an apocalyptic number.

135602550 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 135602550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188458920).

135602550 is an abundant number, since it is smaller than the sum of its proper divisors (241315290).

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

135602550 is a wasteful number, since it uses less digits than its factorization.

135602550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10430 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 135602550 is about 11644.8507933764. The cubic root of 135602550 is about 513.7548705738.

It can be divided in two parts, 13560 and 2550, that added together give a triangular number (16110 = T179).

The spelling of 135602550 in words is "one hundred thirty-five million, six hundred two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 10391 13050 20782 31173 51955 62346 93519 103910 155865 187038 259775 301339 311730 467595 519550 602678 779325 904017 935190 1506695 1558650 1808034 2337975 2712051 3013390 4520085 4675950 5424102 7533475 9040170 13560255 15066950 22600425 27120510 45200850 67801275 135602550