Search a number
-
+
13711248 = 2433171867
BaseRepresentation
bin110100010011…
…011110010000
3221210121022000
4310103132100
512002224443
61205514000
7224354325
oct64233620
927717260
1013711248
117815511
124712900
132ac0b85
141b6cb4c
15130c8d3
hexd13790

13711248 has 80 divisors (see below), whose sum is σ = 41693760. Its totient is φ = 4299264.

The previous prime is 13711183. The next prime is 13711249. The reversal of 13711248 is 84211731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13711249) by changing a digit.

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, 6411 + ... + 8277.

It is an arithmetic number, because the mean of its divisors is an integer number (521172).

Almost surely, 213711248 is an apocalyptic number.

13711248 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 13711248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20846880).

13711248 is an abundant number, since it is smaller than the sum of its proper divisors (27982512).

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

13711248 is a wasteful number, since it uses less digits than its factorization.

13711248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 13711248 is about 3702.8702380721. The cubic root of 13711248 is about 239.3457179333.

Adding to 13711248 its reverse (84211731), we get a palindrome (97922979).

The spelling of 13711248 in words is "thirteen million, seven hundred eleven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 1867 2448 3672 3734 5601 7344 7468 11202 14936 16803 22404 29872 31739 33606 44808 50409 63478 67212 89616 95217 100818 126956 134424 190434 201636 253912 268848 285651 380868 403272 507824 571302 761736 806544 856953 1142604 1523472 1713906 2285208 3427812 4570416 6855624 13711248