Search a number
-
+
12180696 = 23311293743
BaseRepresentation
bin101110011101…
…110011011000
3211220211202220
4232131303120
511104240241
61113024040
7205351143
oct56356330
924824686
1012180696
11696a5a0
1240b5020
1326a6318
14189105a
151109166
hexb9dcd8

12180696 has 128 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3386880.

The previous prime is 12180683. The next prime is 12180703. The reversal of 12180696 is 69608121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283251 + ... + 283293.

It is an arithmetic number, because the mean of its divisors is an integer number (282150).

Almost surely, 212180696 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 12180696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

12180696 is an abundant number, since it is smaller than the sum of its proper divisors (23934504).

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

12180696 is a wasteful number, since it uses less digits than its factorization.

12180696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12180696 is about 3490.0853857750. The cubic root of 12180696 is about 230.0862688353.

The spelling of 12180696 in words is "twelve million, one hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 37 43 44 58 66 74 86 87 88 111 116 129 132 148 172 174 222 232 258 264 296 319 344 348 407 444 473 516 638 696 814 888 946 957 1032 1073 1221 1247 1276 1419 1591 1628 1892 1914 2146 2442 2494 2552 2838 3182 3219 3256 3741 3784 3828 4292 4773 4884 4988 5676 6364 6438 7482 7656 8584 9546 9768 9976 11352 11803 12728 12876 13717 14964 17501 19092 23606 25752 27434 29928 35002 35409 38184 41151 46139 47212 52503 54868 70004 70818 82302 92278 94424 105006 109736 138417 140008 141636 164604 184556 210012 276834 283272 329208 369112 420024 507529 553668 1015058 1107336 1522587 2030116 3045174 4060232 6090348 12180696