Search a number
-
+
1206156 = 223783173
BaseRepresentation
bin100100110011110001100
32021021112110
410212132030
5302044111
641504020
713152330
oct4463614
92237473
101206156
11754226
124a2010
13333003
142357c0
1518c5a6
hex12678c

1206156 has 48 divisors (see below), whose sum is σ = 3273984. Its totient is φ = 338496.

The previous prime is 1206151. The next prime is 1206157. The reversal of 1206156 is 6516021.

It is a happy number.

It is a super-3 number, since 3×12061563 = 5264191740298333248, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1206151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886 + ... + 7058.

It is an arithmetic number, because the mean of its divisors is an integer number (68208).

21206156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636992).

1206156 is an abundant number, since it is smaller than the sum of its proper divisors (2067828).

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

1206156 is a wasteful number, since it uses less digits than its factorization.

1206156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1206156 is about 1098.2513373541. The cubic root of 1206156 is about 106.4472616842.

It can be divided in two parts, 120 and 6156, that multiplied together give a triangular number (738720 = T1215).

The spelling of 1206156 in words is "one million, two hundred six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 173 249 332 346 498 519 581 692 996 1038 1162 1211 1743 2076 2324 2422 3486 3633 4844 6972 7266 14359 14532 28718 43077 57436 86154 100513 172308 201026 301539 402052 603078 1206156