Search a number
-
+
12035056 = 2411195961
BaseRepresentation
bin101101111010…
…001111110000
3211122102222211
4231322033300
511040110211
61105541504
7204203425
oct55721760
924572884
1012035056
116880130
124044894
132654c47
141853d4c
1510cae21
hexb7a3f0

12035056 has 80 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 5011200.

The previous prime is 12035047. The next prime is 12035069. The reversal of 12035056 is 65053021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 197266 + ... + 197326.

It is an arithmetic number, because the mean of its divisors is an integer number (345960).

Almost surely, 212035056 is an apocalyptic number.

12035056 is a gapful number since it is divisible by the number (16) 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 12035056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

12035056 is an abundant number, since it is smaller than the sum of its proper divisors (15641744).

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

12035056 is a wasteful number, since it uses less digits than its factorization.

12035056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 12035056 is about 3469.1578228729. The cubic root of 12035056 is about 229.1655712271.

Adding to 12035056 its reverse (65053021), we get a palindrome (77088077).

The spelling of 12035056 in words is "twelve million, thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 59 61 76 88 118 122 152 176 209 236 244 304 418 472 488 649 671 836 944 976 1121 1159 1298 1342 1672 2242 2318 2596 2684 3344 3599 4484 4636 5192 5368 7198 8968 9272 10384 10736 12331 12749 14396 17936 18544 24662 25498 28792 39589 49324 50996 57584 68381 79178 98648 101992 136762 158356 197296 203984 273524 316712 547048 633424 752191 1094096 1504382 3008764 6017528 12035056