Search a number
-
+
13744296 = 23331719197
BaseRepresentation
bin110100011011…
…100010101000
3221212021122000
4310123202220
512004304141
61210331000
7224552556
oct64334250
927767560
1013744296
117838325
124729a60
132b02c27
141b7abd6
1513175b6
hexd1b8a8

13744296 has 128 divisors (see below), whose sum is σ = 42768000. Its totient is φ = 4064256.

The previous prime is 13744259. The next prime is 13744319. The reversal of 13744296 is 69244731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13744296.

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 31 ways as a sum of consecutive naturals, for example, 69670 + ... + 69866.

It is an arithmetic number, because the mean of its divisors is an integer number (334125).

Almost surely, 213744296 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 13744296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384000).

13744296 is an abundant number, since it is smaller than the sum of its proper divisors (29023704).

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

13744296 is a wasteful number, since it uses less digits than its factorization.

13744296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13744296 is about 3707.3300365627. The cubic root of 13744296 is about 239.5378606847.

The spelling of 13744296 in words is "thirteen million, seven hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 197 204 216 228 306 323 342 394 408 456 459 513 591 612 646 684 788 918 969 1026 1182 1224 1292 1368 1576 1773 1836 1938 2052 2364 2584 2907 3349 3546 3672 3743 3876 4104 4728 5319 5814 6698 7092 7486 7752 8721 10047 10638 11229 11628 13396 14184 14972 17442 20094 21276 22458 23256 26792 29944 30141 33687 34884 40188 42552 44916 60282 63631 67374 69768 80376 89832 90423 101061 120564 127262 134748 180846 190893 202122 241128 254524 269496 361692 381786 404244 509048 572679 723384 763572 808488 1145358 1527144 1718037 2290716 3436074 4581432 6872148 13744296