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136434176 = 29439607
BaseRepresentation
bin10000010000111…
…01001000000000
3100111201120111122
420020131020000
5234411343201
621312131412
73244446164
oct1010351000
9314646448
10136434176
117001701a
1239836b68
132235c2a8
1414196ca4
15be9ee1b
hex821d200

136434176 has 40 divisors (see below), whose sum is σ = 273672960. Its totient is φ = 67949568.

The previous prime is 136434173. The next prime is 136434191. The reversal of 136434176 is 671434631.

It is a super-2 number, since 2×1364341762 = 37228568761597952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136434173) 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 3 ways as a sum of consecutive naturals, for example, 224465 + ... + 225071.

It is an arithmetic number, because the mean of its divisors is an integer number (6841824).

Almost surely, 2136434176 is an apocalyptic number.

136434176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136836480).

136434176 is an abundant number, since it is smaller than the sum of its proper divisors (137238784).

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

136434176 is an frugal number, since it uses more digits than its factorization.

136434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1048 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 136434176 is about 11680.5040987108. The cubic root of 136434176 is about 514.8029861933.

The spelling of 136434176 in words is "one hundred thirty-six million, four hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 439 512 607 878 1214 1756 2428 3512 4856 7024 9712 14048 19424 28096 38848 56192 77696 112384 155392 224768 266473 310784 532946 1065892 2131784 4263568 8527136 17054272 34108544 68217088 136434176