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155160 = 23325431
BaseRepresentation
bin100101111000011000
321212211200
4211320120
514431120
63154200
71214235
oct457030
9255750
10155160
11a6635
1275960
1355815
144078c
1530e90
hex25e18

155160 has 48 divisors (see below), whose sum is σ = 505440. Its totient is φ = 41280.

The previous prime is 155153. The next prime is 155161. The reversal of 155160 is 61551.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155161) by changing a digit.

155160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2155160 is an apocalyptic number.

155160 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 155160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720).

155160 is an abundant number, since it is smaller than the sum of its proper divisors (350280).

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

155160 is a wasteful number, since it uses less digits than its factorization.

155160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 155160 is about 393.9035414921. The cubic root of 155160 is about 53.7353304117.

The spelling of 155160 in words is "one hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 431 862 1293 1724 2155 2586 3448 3879 4310 5172 6465 7758 8620 10344 12930 15516 17240 19395 25860 31032 38790 51720 77580 155160