Search a number
-
+
12652024 = 23711192347
BaseRepresentation
bin110000010000…
…110111111000
3212210210022111
4300100313320
511214331044
61131102104
7212353240
oct60206770
925723274
1012652024
117161720
1242a1934
13280ca08
141974b20
15119db34
hexc10df8

12652024 has 128 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 4371840.

The previous prime is 12652007. The next prime is 12652027. The reversal of 12652024 is 42025621.

It is a super-2 number, since 2×126520242 = 320147422593152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12651986 and 12652004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12652027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269169 + ... + 269215.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

It is a vampire number, since it can be written as 20246251 (with its own digits).

Almost surely, 212652024 is an apocalyptic number.

12652024 is a gapful number since it is divisible by the number (14) 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 12652024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

12652024 is an abundant number, since it is smaller than the sum of its proper divisors (20525576).

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

12652024 is a wasteful number, since it uses less digits than its factorization.

12652024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12652024 is about 3556.9683720832. The cubic root of 12652024 is about 233.0164969562.

Adding to 12652024 its reverse (42025621), we get a palindrome (54677645).

The spelling of 12652024 in words is "twelve million, six hundred fifty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 19 22 23 28 38 44 46 47 56 76 77 88 92 94 133 152 154 161 184 188 209 253 266 308 322 329 376 418 437 506 517 532 616 644 658 836 874 893 1012 1034 1064 1081 1288 1316 1463 1672 1748 1771 1786 2024 2068 2162 2632 2926 3059 3496 3542 3572 3619 4136 4324 4807 5852 6118 6251 7084 7144 7238 7567 8648 9614 9823 11704 11891 12236 12502 14168 14476 15134 19228 19646 20539 23782 24472 25004 28952 30268 33649 38456 39292 41078 47564 50008 60536 67298 68761 78584 82156 83237 95128 134596 137522 143773 164312 166474 225929 269192 275044 287546 332948 451858 550088 575092 665896 903716 1150184 1581503 1807432 3163006 6326012 12652024