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141360 = 24351931
BaseRepresentation
bin100010100000110000
321011220120
4202200300
514010420
63010240
71126062
oct424060
9234816
10141360
119722a
1269980
134c45b
1439732
152bd40
hex22830

141360 has 80 divisors (see below), whose sum is σ = 476160. Its totient is φ = 34560.

The previous prime is 141359. The next prime is 141371. The reversal of 141360 is 63141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4545 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2141360 is an apocalyptic number.

141360 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 141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080).

141360 is an abundant number, since it is smaller than the sum of its proper divisors (334800).

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

141360 is a wasteful number, since it uses less digits than its factorization.

141360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 141360 is about 375.9787228022. The cubic root of 141360 is about 52.0925373956.

The spelling of 141360 in words is "one hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4560 4712 5890 7068 7440 8835 9424 11780 14136 17670 23560 28272 35340 47120 70680 141360