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12190248 = 2332719267
BaseRepresentation
bin101110100000…
…001000101000
3211221022212200
4232200020220
511110041443
61113140200
7205421040
oct56401050
924838780
1012190248
116976794
1240ba660
1326aa785
141894720
15110bdd3
hexba0228

12190248 has 144 divisors (see below), whose sum is σ = 40416480. Its totient is φ = 3250368.

The previous prime is 12190231. The next prime is 12190259. The reversal of 12190248 is 84209121.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181911 + ... + 181977.

It is an arithmetic number, because the mean of its divisors is an integer number (280670).

Almost surely, 212190248 is an apocalyptic number.

12190248 is a gapful number since it is divisible by the number (18) 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 12190248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208240).

12190248 is an abundant number, since it is smaller than the sum of its proper divisors (28226232).

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

12190248 is a wasteful number, since it uses less digits than its factorization.

12190248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12190248 is about 3491.4535654939. The cubic root of 12190248 is about 230.1463970304.

Adding to 12190248 its reverse (84209121), we get a palindrome (96399369).

The spelling of 12190248 in words is "twelve million, one hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 67 72 76 84 114 126 133 134 152 168 171 201 228 252 266 268 342 361 399 402 456 469 504 532 536 603 684 722 798 804 938 1064 1083 1197 1206 1273 1368 1407 1444 1596 1608 1876 2166 2394 2412 2527 2546 2814 2888 3192 3249 3752 3819 4221 4332 4788 4824 5054 5092 5628 6498 7581 7638 8442 8664 8911 9576 10108 10184 11256 11457 12996 15162 15276 16884 17822 20216 22743 22914 24187 25992 26733 30324 30552 33768 35644 45486 45828 48374 53466 60648 71288 72561 80199 90972 91656 96748 106932 145122 160398 169309 181944 193496 213864 217683 290244 320796 338618 435366 507927 580488 641592 677236 870732 1015854 1354472 1523781 1741464 2031708 3047562 4063416 6095124 12190248