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136016384 = 29737951
BaseRepresentation
bin10000001101101…
…11001000000000
3100110221100101212
420012313020000
5234310011014
621255145252
73241056140
oct1006671000
9313840355
10136016384
116a861139
1239675228
132224408a
14140c8920
15be1b23e
hex81b7200

136016384 has 40 divisors (see below), whose sum is σ = 310599168. Its totient is φ = 58291200.

The previous prime is 136016381. The next prime is 136016429. The reversal of 136016384 is 483610631.

It is a super-3 number, since 3×1360163843 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 136016384.

It is not an unprimeable number, because it can be changed into a prime (136016381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15392 + ... + 22559.

Almost surely, 2136016384 is an apocalyptic number.

136016384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136016384 is an abundant number, since it is smaller than the sum of its proper divisors (174582784).

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

136016384 is an frugal number, since it uses more digits than its factorization.

136016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37976 (or 37960 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 136016384 is about 11662.6062267402. The cubic root of 136016384 is about 514.2769682228.

The spelling of 136016384 in words is "one hundred thirty-six million, sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 37951 75902 151804 265657 303608 531314 607216 1062628 1214432 2125256 2428864 4250512 4857728 8501024 9715456 17002048 19430912 34004096 68008192 136016384