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12025936 = 24131719179
BaseRepresentation
bin101101111000…
…000001010000
3211121222111001
4231320001100
511034312221
61105431344
7204135016
oct55700120
924558431
1012025936
11687429a
12403b554
132650a50
1418508b6
1510c8391
hexb78050

12025936 has 80 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4921344.

The previous prime is 12025927. The next prime is 12025961. The reversal of 12025936 is 63952021.

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, 67095 + ... + 67273.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 212025936 is an apocalyptic number.

12025936 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 12025936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

12025936 is an abundant number, since it is smaller than the sum of its proper divisors (16097264).

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

12025936 is a wasteful number, since it uses less digits than its factorization.

12025936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 12025936 is about 3467.8431337072. The cubic root of 12025936 is about 229.1076704259.

Adding to 12025936 its reverse (63952021), we get a palindrome (75977957).

It can be divided in two parts, 120259 and 36, that added together give a triangular number (120295 = T490).

The spelling of 12025936 in words is "twelve million, twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 179 208 221 247 272 304 323 358 442 494 646 716 884 988 1292 1432 1768 1976 2327 2584 2864 3043 3401 3536 3952 4199 4654 5168 6086 6802 8398 9308 12172 13604 16796 18616 24344 27208 33592 37232 39559 44213 48688 54416 57817 67184 79118 88426 115634 158236 176852 231268 316472 353704 462536 632944 707408 751621 925072 1503242 3006484 6012968 12025936