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135541305 = 32510329243
BaseRepresentation
bin10000001010000…
…11001000111001
3100110001012201100
420011003020321
5234144310210
621241042013
73234040104
oct1005031071
9313035640
10135541305
116a567209
1239486309
1322108a73
141400373b
15bd755c0
hex8143239

135541305 has 24 divisors (see below), whose sum is σ = 237227328. Its totient is φ = 71584416.

The previous prime is 135541303. The next prime is 135541309. The reversal of 135541305 is 503145531.

135541305 is a `hidden beast` number, since 1 + 355 + 4 + 1 + 305 = 666.

It is not a de Polignac number, because 135541305 - 21 = 135541303 is a prime.

It is a super-2 number, since 2×1355413052 = 36742890722206050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135541303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9987 + ... + 19256.

It is an arithmetic number, because the mean of its divisors is an integer number (9884472).

Almost surely, 2135541305 is an apocalyptic number.

135541305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135541305 is a deficient number, since it is larger than the sum of its proper divisors (101686023).

135541305 is a wasteful number, since it uses less digits than its factorization.

135541305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29357 (or 29354 counting only the distinct ones).

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

The square root of 135541305 is about 11642.2207933023. The cubic root of 135541305 is about 513.6775129939.

Adding to 135541305 its reverse (503145531), we get a palindrome (638686836).

The spelling of 135541305 in words is "one hundred thirty-five million, five hundred forty-one thousand, three hundred five".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 29243 87729 146215 263187 438645 1315935 3012029 9036087 15060145 27108261 45180435 135541305