Search a number
-
+
14247264 = 2531973107
BaseRepresentation
bin110110010110…
…010101100000
3222210211120110
4312112111200
512121403024
61225211320
7232046133
oct66262540
928724513
1014247264
1180511a9
124930b40
132c4ab45
141c6c21a
1513b6629
hexd96560

14247264 has 96 divisors (see below), whose sum is σ = 40279680. Its totient is φ = 4396032.

The previous prime is 14247253. The next prime is 14247287. The reversal of 14247264 is 46274241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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, 133099 + ... + 133205.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 214247264 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 14247264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139840).

14247264 is an abundant number, since it is smaller than the sum of its proper divisors (26032416).

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

14247264 is a wasteful number, since it uses less digits than its factorization.

14247264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 14247264 is about 3774.5548081860. The cubic root of 14247264 is about 242.4248621146.

The spelling of 14247264 in words is "fourteen million, two hundred forty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 107 114 146 152 214 219 228 292 304 321 428 438 456 584 608 642 856 876 912 1168 1284 1387 1712 1752 1824 2033 2336 2568 2774 3424 3504 4066 4161 5136 5548 6099 7008 7811 8132 8322 10272 11096 12198 15622 16264 16644 22192 23433 24396 31244 32528 33288 44384 46866 48792 62488 65056 66576 93732 97584 124976 133152 148409 187464 195168 249952 296818 374928 445227 593636 749856 890454 1187272 1780908 2374544 3561816 4749088 7123632 14247264