Search a number
-
+
1361280 = 2735709
BaseRepresentation
bin101001100010110000000
32120011022210
411030112000
5322030110
645102120
714366514
oct5142600
92504283
101361280
1184a828
12557940
133887bb
14276144
151bd520
hex14c580

1361280 has 64 divisors (see below), whose sum is σ = 4345200. Its totient is φ = 362496.

The previous prime is 1361279. The next prime is 1361287. The reversal of 1361280 is 821631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361287) 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 7 ways as a sum of consecutive naturals, for example, 1566 + ... + 2274.

21361280 is an apocalyptic number.

1361280 is a gapful number since it is divisible by the number (10) 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 1361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172600).

1361280 is an abundant number, since it is smaller than the sum of its proper divisors (2983920).

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

1361280 is an equidigital number, since it uses as much as digits as its factorization.

1361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1361280 is about 1166.7390453739. The cubic root of 1361280 is about 110.8279128762.

The spelling of 1361280 in words is "one million, three hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 709 960 1418 1920 2127 2836 3545 4254 5672 7090 8508 10635 11344 14180 17016 21270 22688 28360 34032 42540 45376 56720 68064 85080 90752 113440 136128 170160 226880 272256 340320 453760 680640 1361280