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121360 = 2453741
BaseRepresentation
bin11101101000010000
320011110211
4131220100
512340420
62333504
71013551
oct355020
9204424
10121360
11831a8
125a294
1343315
1432328
1525e5a
hex1da10

121360 has 40 divisors (see below), whose sum is σ = 296856. Its totient is φ = 46080.

The previous prime is 121357. The next prime is 121367. The reversal of 121360 is 63121.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 112896 = 92^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 121360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121367) 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, 2940 + ... + 2980.

2121360 is an apocalyptic number.

121360 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 121360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

121360 is an abundant number, since it is smaller than the sum of its proper divisors (175496).

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

121360 is a wasteful number, since it uses less digits than its factorization.

121360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 121360 is about 348.3676219168. The cubic root of 121360 is about 49.5098779729.

Adding to 121360 its reverse (63121), we get a palindrome (184481).

The spelling of 121360 in words is "one hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 41 74 80 82 148 164 185 205 296 328 370 410 592 656 740 820 1480 1517 1640 2960 3034 3280 6068 7585 12136 15170 24272 30340 60680 121360