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135408384 = 283258771
BaseRepresentation
bin10000001001000…
…10101100000000
3100102210110101100
420010202230000
5234131032014
621234134400
73232644426
oct1004425400
9312713340
10135408384
116a486361
1239421400
1322090407
1413dab116
15bd4b009
hex8122b00

135408384 has 54 divisors (see below), whose sum is σ = 390422396. Its totient is φ = 45135360.

The previous prime is 135408367. The next prime is 135408389. The reversal of 135408384 is 483804531.

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

It is not an unprimeable number, because it can be changed into a prime (135408389) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27082 + ... + 31689.

Almost surely, 2135408384 is an apocalyptic number.

It is an amenable number.

135408384 is an abundant number, since it is smaller than the sum of its proper divisors (255014012).

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

135408384 is an equidigital number, since it uses as much as digits as its factorization.

135408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58793 (or 58776 counting only the distinct ones).

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

The square root of 135408384 is about 11636.5108172510. The cubic root of 135408384 is about 513.5095424003.

The spelling of 135408384 in words is "one hundred thirty-five million, four hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 58771 117542 176313 235084 352626 470168 528939 705252 940336 1057878 1410504 1880672 2115756 2821008 3761344 4231512 5642016 7522688 8463024 11284032 15045376 16926048 22568064 33852096 45136128 67704192 135408384