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135483408 = 2433313619
BaseRepresentation
bin10000001001101…
…01000000010000
3100102221021022000
420010311000100
5234140432113
621235514000
73233406234
oct1004650020
9312837260
10135483408
116a527765
1239458900
13220b85c8
1413dca5c4
15bd63373
hex8135010

135483408 has 40 divisors (see below), whose sum is σ = 388888800. Its totient is φ = 45160992.

The previous prime is 135483377. The next prime is 135483443. The reversal of 135483408 is 804384531.

135483408 is a `hidden beast` number, since 135 + 483 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156378 + ... + 157241.

It is an arithmetic number, because the mean of its divisors is an integer number (9722220).

Almost surely, 2135483408 is an apocalyptic number.

135483408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135483408 is an abundant number, since it is smaller than the sum of its proper divisors (253405392).

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

135483408 is a wasteful number, since it uses less digits than its factorization.

135483408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313636 (or 313624 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 135483408 is about 11639.7340175796. The cubic root of 135483408 is about 513.6043627894.

The spelling of 135483408 in words is "one hundred thirty-five million, four hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 313619 627238 940857 1254476 1881714 2508952 2822571 3763428 5017904 5645142 7526856 8467713 11290284 15053712 16935426 22580568 33870852 45161136 67741704 135483408