Search a number
-
+
12050064 = 24321341157
BaseRepresentation
bin101101111101…
…111010010000
3211200012120200
4231331322100
511041100224
61110135200
7204265245
oct55757220
924605520
1012050064
116890434
124051500
13265ba20
1418595cc
1510d05c9
hexb7de90

12050064 has 120 divisors (see below), whose sum is σ = 37440312. Its totient is φ = 3594240.

The previous prime is 12050063. The next prime is 12050081. The reversal of 12050064 is 46005021.

12050064 = 5222 + 5232 + ... + 5622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 435600 + 11614464 = 660^2 + 3408^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76674 + ... + 76830.

Almost surely, 212050064 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 12050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720156).

12050064 is an abundant number, since it is smaller than the sum of its proper divisors (25390248).

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

12050064 is a wasteful number, since it uses less digits than its factorization.

12050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12050064 is about 3471.3202099489. The cubic root of 12050064 is about 229.2607899572.

Adding to 12050064 its reverse (46005021), we get a palindrome (58055085).

The spelling of 12050064 in words is "twelve million, fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 157 164 208 234 246 312 314 328 369 468 471 492 533 624 628 656 738 936 942 984 1066 1256 1413 1476 1599 1872 1884 1968 2041 2132 2512 2826 2952 3198 3768 4082 4264 4797 5652 5904 6123 6396 6437 7536 8164 8528 9594 11304 12246 12792 12874 16328 18369 19188 19311 22608 24492 25584 25748 32656 36738 38376 38622 48984 51496 57933 73476 76752 77244 83681 97968 102992 115866 146952 154488 167362 231732 251043 293904 308976 334724 463464 502086 669448 753129 926928 1004172 1338896 1506258 2008344 3012516 4016688 6025032 12050064