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136024 = 2372347
BaseRepresentation
bin100001001101011000
320220120221
4201031120
513323044
62525424
71104400
oct411530
9226527
10136024
1193219
1266874
1349bb5
1437800
152a484
hex21358

136024 has 24 divisors (see below), whose sum is σ = 297540. Its totient is φ = 58128.

The previous prime is 136013. The next prime is 136027. The reversal of 136024 is 420631.

136024 = T50 + T51 + ... + T97.

It is a junction number, because it is equal to n+sod(n) for n = 135989 and 136007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136027) 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, 219 + ... + 565.

2136024 is an apocalyptic number.

136024 is a gapful number since it is divisible by the number (14) 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 136024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148770).

136024 is an abundant number, since it is smaller than the sum of its proper divisors (161516).

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

136024 is a wasteful number, since it uses less digits than its factorization.

136024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 136024 is about 368.8143164249. The cubic root of 136024 is about 51.4286566724.

Adding to 136024 its reverse (420631), we get a palindrome (556655).

It can be divided in two parts, 1360 and 24, that multiplied together give a triangular number (32640 = T255).

The spelling of 136024 in words is "one hundred thirty-six thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 347 392 694 1388 2429 2776 4858 9716 17003 19432 34006 68012 136024