Search a number
-
+
2180136 = 233719683
BaseRepresentation
bin1000010100010000101000
311002202120210
420110100220
51024231021
6114421120
724350040
oct10242050
94082523
102180136
111259a72
128917a0
135b442a
1440a720
152d0e76
hex214428

2180136 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 589248.

The previous prime is 2180119. The next prime is 2180141. The reversal of 2180136 is 6310812.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22180136 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 2180136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2180136 is an abundant number, since it is smaller than the sum of its proper divisors (4386264).

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

2180136 is a wasteful number, since it uses less digits than its factorization.

2180136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2180136 is about 1476.5283607164. The cubic root of 2180136 is about 129.6665220145. Note that the first 3 decimals are identical.

Adding to 2180136 its reverse (6310812), we get a palindrome (8490948).

The spelling of 2180136 in words is "two million, one hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 683 798 1064 1366 1596 2049 2732 3192 4098 4781 5464 8196 9562 12977 14343 16392 19124 25954 28686 38248 38931 51908 57372 77862 90839 103816 114744 155724 181678 272517 311448 363356 545034 726712 1090068 2180136