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1361536 = 2711967
BaseRepresentation
bin101001100011010000000
32120011200021
411030122000
5322032121
645103224
714400331
oct5143200
92504607
101361536
1184aa40
12557b14
13388957
14276288
151bd641
hex14c680

1361536 has 32 divisors (see below), whose sum is σ = 2962080. Its totient is φ = 618240.

The previous prime is 1361533. The next prime is 1361573. The reversal of 1361536 is 6351631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1361536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361533) 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, 925 + ... + 1891.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

21361536 is an apocalyptic number.

1361536 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 1361536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481040).

1361536 is an abundant number, since it is smaller than the sum of its proper divisors (1600544).

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

1361536 is an equidigital number, since it uses as much as digits as its factorization.

1361536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 980 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The square root of 1361536 is about 1166.8487476961. The cubic root of 1361536 is about 110.8348598103.

The spelling of 1361536 in words is "one million, three hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 967 1408 1934 3868 7736 10637 15472 21274 30944 42548 61888 85096 123776 170192 340384 680768 1361536