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12038796 = 223271143101
BaseRepresentation
bin101101111011…
…001010001100
3211122122010100
4231323022030
511040220141
61110011100
7204220350
oct55731214
924578110
1012038796
116882a20
124046a90
132656863
141855460
1510cc0b6
hexb7b28c

12038796 has 144 divisors (see below), whose sum is σ = 39207168. Its totient is φ = 3024000.

The previous prime is 12038779. The next prime is 12038797. The reversal of 12038796 is 69783021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12038796.

It is not an unprimeable number, because it can be changed into a prime (12038797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119146 + ... + 119246.

It is an arithmetic number, because the mean of its divisors is an integer number (272272).

Almost surely, 212038796 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 12038796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584).

12038796 is an abundant number, since it is smaller than the sum of its proper divisors (27168372).

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

12038796 is a wasteful number, since it uses less digits than its factorization.

12038796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12038796 is about 3469.6968167262. The cubic root of 12038796 is about 229.1893071773.

It can be divided in two parts, 1203 and 8796, that added together give a palindrome (9999).

The spelling of 12038796 in words is "twelve million, thirty-eight thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 101 126 129 132 154 172 198 202 231 252 258 301 303 308 387 396 404 462 473 516 602 606 693 707 774 903 909 924 946 1111 1204 1212 1386 1414 1419 1548 1806 1818 1892 2121 2222 2709 2772 2828 2838 3311 3333 3612 3636 4242 4257 4343 4444 5418 5676 6363 6622 6666 7777 8484 8514 8686 9933 9999 10836 12726 13029 13244 13332 15554 17028 17372 19866 19998 23331 25452 26058 29799 30401 31108 39087 39732 39996 46662 47773 52116 59598 60802 69993 78174 91203 93324 95546 119196 121604 139986 143319 156348 182406 191092 273609 279972 286638 334411 364812 429957 547218 573276 668822 859914 1003233 1094436 1337644 1719828 2006466 3009699 4012932 6019398 12038796