Search a number
-
+
12052764 = 22321967263
BaseRepresentation
bin101101111110…
…100100011100
3211200100021200
4231332210130
511041142024
61110155500
7204306153
oct55764434
924610250
1012052764
116892469
124052b90
132660019
14185a59a
1510d12c9
hexb7e91c

12052764 has 72 divisors (see below), whose sum is σ = 32672640. Its totient is φ = 3735072.

The previous prime is 12052753. The next prime is 12052819. The reversal of 12052764 is 46725021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45697 + ... + 45959.

Almost surely, 212052764 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 12052764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336320).

12052764 is an abundant number, since it is smaller than the sum of its proper divisors (20619876).

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

12052764 is a wasteful number, since it uses less digits than its factorization.

12052764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12052764 is about 3471.7090891951. The cubic root of 12052764 is about 229.2779118000.

Adding to 12052764 its reverse (46725021), we get a palindrome (58777785).

It can be divided in two parts, 1205 and 2764, that added together give a square (3969 = 632).

The spelling of 12052764 in words is "twelve million, fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 263 268 342 402 526 603 684 789 804 1052 1206 1273 1578 2367 2412 2546 3156 3819 4734 4997 5092 7638 9468 9994 11457 14991 15276 17621 19988 22914 29982 35242 44973 45828 52863 59964 70484 89946 105726 158589 179892 211452 317178 334799 634356 669598 1004397 1339196 2008794 3013191 4017588 6026382 12052764