Search a number
-
+
155880 = 23325433
BaseRepresentation
bin100110000011101000
321220211100
4212003220
514442010
63201400
71216314
oct460350
9256740
10155880
11a712a
1276260
1355c4a
1440b44
15312c0
hex260e8

155880 has 48 divisors (see below), whose sum is σ = 507780. Its totient is φ = 41472.

The previous prime is 155863. The next prime is 155887. The reversal of 155880 is 88551.

It can be divided in two parts, 155 and 880, that added together give a triangular number (1035 = T45).

155880 = T18 + T19 + ... + T97.

It can be written as a sum of positive squares in 2 ways, for example, as 142884 + 12996 = 378^2 + 114^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (155887) 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 11 ways as a sum of consecutive naturals, for example, 144 + ... + 576.

2155880 is an apocalyptic number.

155880 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 155880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

155880 is an abundant number, since it is smaller than the sum of its proper divisors (351900).

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

155880 is a wasteful number, since it uses less digits than its factorization.

155880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 155880 is about 394.8164130327. The cubic root of 155880 is about 53.8183194708.

The spelling of 155880 in words is "one hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 433 866 1299 1732 2165 2598 3464 3897 4330 5196 6495 7794 8660 10392 12990 15588 17320 19485 25980 31176 38970 51960 77940 155880