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136048032 = 2533532971
BaseRepresentation
bin10000001101111…
…10110110100000
3100110222221211000
420012332312200
5234312014112
621255552000
73241250331
oct1006766640
9313887730
10136048032
116a88299a
123968b600
13222555c3
14140d6288
15be257dc
hex81beda0

136048032 has 96 divisors (see below), whose sum is σ = 404429760. Its totient is φ = 44478720.

The previous prime is 136048009. The next prime is 136048049. The reversal of 136048032 is 230840631.

It is a happy number.

136048032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1360480322 = 37018134022146048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136047987 and 136048005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44307 + ... + 47277.

It is an arithmetic number, because the mean of its divisors is an integer number (4212810).

Almost surely, 2136048032 is an apocalyptic number.

136048032 is a gapful number since it is divisible by the number (12) 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 136048032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202214880).

136048032 is an abundant number, since it is smaller than the sum of its proper divisors (268381728).

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

136048032 is a wasteful number, since it uses less digits than its factorization.

136048032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 136048032 is about 11663.9629629042. The cubic root of 136048032 is about 514.3168520830.

Adding to 136048032 its reverse (230840631), we get a palindrome (366888663).

The spelling of 136048032 in words is "one hundred thirty-six million, forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 2971 3816 5088 5724 5942 7632 8913 11448 11884 15264 17826 22896 23768 26739 35652 45792 47536 53478 71304 80217 95072 106956 142608 157463 160434 213912 285216 314926 320868 427824 472389 629852 641736 855648 944778 1259704 1283472 1417167 1889556 2519408 2566944 2834334 3779112 4251501 5038816 5668668 7558224 8503002 11337336 15116448 17006004 22674672 34012008 45349344 68024016 136048032