Search a number
-
+
155832 = 23343151
BaseRepresentation
bin100110000010111000
321220202120
4212002320
514441312
63201240
71216215
oct460270
9256676
10155832
11a7096
1276220
1355c11
1440b0c
153128c
hex260b8

155832 has 32 divisors (see below), whose sum is σ = 401280. Its totient is φ = 50400.

The previous prime is 155821. The next prime is 155833. The reversal of 155832 is 238551.

It is a super-2 number, since 2×1558322 = 48567224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155833) 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, 957 + ... + 1107.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2155832 is an apocalyptic number.

155832 is a gapful number since it is divisible by the number (12) 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 155832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200640).

155832 is an abundant number, since it is smaller than the sum of its proper divisors (245448).

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

155832 is a wasteful number, since it uses less digits than its factorization.

155832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 155832 is about 394.7556206060. The cubic root of 155832 is about 53.8127948268.

The spelling of 155832 in words is "one hundred fifty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 453 516 604 906 1032 1208 1812 3624 6493 12986 19479 25972 38958 51944 77916 155832