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1361160 = 2332519199
BaseRepresentation
bin101001100010100001000
32120011011100
411030110020
5322024120
645101400
714366253
oct5142410
92504140
101361160
1184a729
12557860
13388728
1427609a
151bd490
hex14c508

1361160 has 96 divisors (see below), whose sum is σ = 4680000. Its totient is φ = 342144.

The previous prime is 1361153. The next prime is 1361183. The reversal of 1361160 is 611631.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6741 + ... + 6939.

It is an arithmetic number, because the mean of its divisors is an integer number (48750).

21361160 is an apocalyptic number.

1361160 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 1361160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340000).

1361160 is an abundant number, since it is smaller than the sum of its proper divisors (3318840).

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

1361160 is a wasteful number, since it uses less digits than its factorization.

1361160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1361160 is about 1166.6876188595. The cubic root of 1361160 is about 110.8246562010.

Adding to 1361160 its reverse (611631), we get a palindrome (1972791).

It can be divided in two parts, 1361 and 160, that added together give a square (1521 = 392).

The spelling of 1361160 in words is "one million, three hundred sixty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 199 228 285 342 360 380 398 456 570 597 684 760 796 855 995 1140 1194 1368 1592 1710 1791 1990 2280 2388 2985 3420 3582 3781 3980 4776 5970 6840 7164 7562 7960 8955 11343 11940 14328 15124 17910 18905 22686 23880 30248 34029 35820 37810 45372 56715 68058 71640 75620 90744 113430 136116 151240 170145 226860 272232 340290 453720 680580 1361160