Search a number
-
+
1201536 = 27327149
BaseRepresentation
bin100100101010110000000
32021001012100
410211112000
5301422121
641430400
713133010
oct4452600
92231170
101201536
11750806
1249b400
13330b8b
14233c40
1518b026
hex125580

1201536 has 96 divisors (see below), whose sum is σ = 3978000. Its totient is φ = 340992.

The previous prime is 1201531. The next prime is 1201553. The reversal of 1201536 is 6351021.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201531) 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 11 ways as a sum of consecutive naturals, for example, 7990 + ... + 8138.

21201536 is an apocalyptic number.

1201536 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 1201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989000).

1201536 is an abundant number, since it is smaller than the sum of its proper divisors (2776464).

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

1201536 is a wasteful number, since it uses less digits than its factorization.

1201536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1201536 is about 1096.1459756802. The cubic root of 1201536 is about 106.3111776858.

Adding to 1201536 its reverse (6351021), we get a palindrome (7552557).

The spelling of 1201536 in words is "one million, two hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 149 168 192 224 252 288 298 336 384 447 448 504 576 596 672 894 896 1008 1043 1152 1192 1341 1344 1788 2016 2086 2384 2682 2688 3129 3576 4032 4172 4768 5364 6258 7152 8064 8344 9387 9536 10728 12516 14304 16688 18774 19072 21456 25032 28608 33376 37548 42912 50064 57216 66752 75096 85824 100128 133504 150192 171648 200256 300384 400512 600768 1201536