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156000 = 2535313
BaseRepresentation
bin100110000101100000
321220222210
4212011200
514443000
63202120
71216545
oct460540
9256883
10156000
11a7229
1276340
1356010
1440bcc
1531350
hex26160

156000 has 96 divisors (see below), whose sum is σ = 550368. Its totient is φ = 38400.

The previous prime is 155921. The next prime is 156007. The reversal of 156000 is 651.

Adding to 156000 its reverse (651), we get a palindrome (156651).

It can be divided in two parts, 15 and 6000, that multiplied together give a square (90000 = 3002).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156007) by changing a digit.

156000 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 15 ways as a sum of consecutive naturals, for example, 11994 + ... + 12006.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2156000 is an apocalyptic number.

156000 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 156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184).

156000 is an abundant number, since it is smaller than the sum of its proper divisors (394368).

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

156000 is a wasteful number, since it uses less digits than its factorization.

156000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 156000 is about 394.9683531626. The cubic root of 156000 is about 53.8321261209.

The spelling of 156000 in words is "one hundred fifty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 125 130 150 156 160 195 200 208 240 250 260 300 312 325 375 390 400 416 480 500 520 600 624 650 750 780 800 975 1000 1040 1200 1248 1300 1500 1560 1625 1950 2000 2080 2400 2600 3000 3120 3250 3900 4000 4875 5200 6000 6240 6500 7800 9750 10400 12000 13000 15600 19500 26000 31200 39000 52000 78000 156000