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135529540 = 2256776477
BaseRepresentation
bin10000001010000…
…00010001000100
3100110000121120121
420011000101010
5234143421130
621240511324
73233660566
oct1005002104
9313017517
10135529540
116a559393
123947b544
13221035c3
1413ddd336
15bd71d7a
hex8140444

135529540 has 12 divisors (see below), whose sum is σ = 284612076. Its totient is φ = 54211808.

The previous prime is 135529531. The next prime is 135529553. The reversal of 135529540 is 45925531.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 79459396 = 7488^2 + 8914^2 .

It is a super-2 number, since 2×1355295402 = 36736512425223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135529496 and 135529505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3388219 + ... + 3388258.

It is an arithmetic number, because the mean of its divisors is an integer number (23717673).

Almost surely, 2135529540 is an apocalyptic number.

135529540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135529540 is an abundant number, since it is smaller than the sum of its proper divisors (149082536).

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

135529540 is a wasteful number, since it uses less digits than its factorization.

135529540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776486 (or 6776484 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 135529540 is about 11641.7155093225. The cubic root of 135529540 is about 513.6626501426.

The spelling of 135529540 in words is "one hundred thirty-five million, five hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 6776477 13552954 27105908 33882385 67764770 135529540