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12204240 = 2435211241
BaseRepresentation
bin101110100011…
…100011010000
3211222001001220
4232203203100
511111013430
61113325040
7205506606
oct56434320
924861056
1012204240
116986254
124106780
1326b3c59
141899876
151111110
hexba38d0

12204240 has 80 divisors (see below), whose sum is σ = 38170176. Its totient is φ = 3225600.

The previous prime is 12204239. The next prime is 12204253. The reversal of 12204240 is 4240221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50520 + ... + 50760.

Almost surely, 212204240 is an apocalyptic number.

12204240 is a gapful number since it is divisible by the number (10) 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 12204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085088).

12204240 is an abundant number, since it is smaller than the sum of its proper divisors (25965936).

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

12204240 is a wasteful number, since it uses less digits than its factorization.

12204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 12204240 is about 3493.4567408228. The cubic root of 12204240 is about 230.2344175836.

Adding to 12204240 its reverse (4240221), we get a palindrome (16444461).

It can be divided in two parts, 1220 and 4240, that added together give a triangular number (5460 = T104).

The spelling of 12204240 in words is "twelve million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 241 422 482 633 723 844 964 1055 1205 1266 1446 1688 1928 2110 2410 2532 2892 3165 3376 3615 3856 4220 4820 5064 5784 6330 7230 8440 9640 10128 11568 12660 14460 16880 19280 25320 28920 50640 50851 57840 101702 152553 203404 254255 305106 406808 508510 610212 762765 813616 1017020 1220424 1525530 2034040 2440848 3051060 4068080 6102120 12204240