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136017424 = 2429433677
BaseRepresentation
bin10000001101101…
…11011000010000
3100110221101211101
420012313120100
5234310024144
621255154144
73241062154
oct1006673020
9313841741
10136017424
116a8619a4
1239675954
13222446aa
14140c9064
15be1b6d4
hex81b7610

136017424 has 40 divisors (see below), whose sum is σ = 273654360. Its totient is φ = 65415168.

The previous prime is 136017383. The next prime is 136017433. The reversal of 136017424 is 424710631.

It can be written as a sum of positive squares in 4 ways, for example, as 35617024 + 100400400 = 5968^2 + 10020^2 .

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 136017392 and 136017401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200574 + ... + 201250.

It is an arithmetic number, because the mean of its divisors is an integer number (6841359).

Almost surely, 2136017424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136017424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136827180).

136017424 is an abundant number, since it is smaller than the sum of its proper divisors (137636936).

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

136017424 is a wasteful number, since it uses less digits than its factorization.

136017424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 136017424 is about 11662.6508136015. The cubic root of 136017424 is about 514.2782789636.

It can be divided in two parts, 13601 and 7424, that added together give a square (21025 = 1452).

The spelling of 136017424 in words is "one hundred thirty-six million, seventeen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 433 464 677 866 1354 1732 2708 3464 5416 6928 10832 12557 19633 25114 39266 50228 78532 100456 157064 200912 293141 314128 586282 1172564 2345128 4690256 8501089 17002178 34004356 68008712 136017424