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14996256 = 2531121291
BaseRepresentation
bin111001001101…
…001100100000
31001012212222220
4321031030200
512314340011
61253231040
7241315602
oct71151440
931185886
1014996256
118512a00
125032480
133150a32
141dc5172
1514b3506
hexe4d320

14996256 has 72 divisors (see below), whose sum is σ = 43302672. Its totient is φ = 4540800.

The previous prime is 14996251. The next prime is 14996257. The reversal of 14996256 is 65269941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14996251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10971 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (601426).

Almost surely, 214996256 is an apocalyptic number.

14996256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 3872×3873.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14996256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21651336).

14996256 is an abundant number, since it is smaller than the sum of its proper divisors (28306416).

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

14996256 is a wasteful number, since it uses less digits than its factorization.

14996256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1307 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 14996256 is about 3872.4999677211. The cubic root of 14996256 is about 246.6006868412.

The spelling of 14996256 in words is "fourteen million, nine hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1291 1452 1936 2582 2904 3872 3873 5164 5808 7746 10328 11616 14201 15492 20656 28402 30984 41312 42603 56804 61968 85206 113608 123936 156211 170412 227216 312422 340824 454432 468633 624844 681648 937266 1249688 1363296 1874532 2499376 3749064 4998752 7498128 14996256