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1361152 = 2813409
BaseRepresentation
bin101001100010100000000
32120011011001
411030110000
5322024102
645101344
714366242
oct5142400
92504131
101361152
1184a721
12557854
13388720
14276092
151bd487
hex14c500

1361152 has 36 divisors (see below), whose sum is σ = 2933140. Its totient is φ = 626688.

The previous prime is 1361149. The next prime is 1361153. The reversal of 1361152 is 2511631.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 614656 = 864^2 + 784^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3124 + ... + 3532.

21361152 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 1361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466570).

1361152 is an abundant number, since it is smaller than the sum of its proper divisors (1571988).

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

1361152 is an equidigital number, since it uses as much as digits as its factorization.

1361152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its digits is 180, while the sum is 19.

The square root of 1361152 is about 1166.6841903446. The cubic root of 1361152 is about 110.8244390825.

Adding to 1361152 its reverse (2511631), we get a palindrome (3872783).

The spelling of 1361152 in words is "one million, three hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 409 416 818 832 1636 1664 3272 3328 5317 6544 10634 13088 21268 26176 42536 52352 85072 104704 170144 340288 680576 1361152