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14869296 = 243213347
BaseRepresentation
bin111000101110…
…001100110000
31000222102211200
4320232030300
512301304141
61250411200
7240246501
oct70561460
930872750
1014869296
118436582
124b90b00
133108000
141d90ba8
15148aab6
hexe2e330

14869296 has 120 divisors (see below), whose sum is σ = 46038720. Its totient is φ = 4477824.

The previous prime is 14869291. The next prime is 14869303. The reversal of 14869296 is 69296841.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14869291) 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 23 ways as a sum of consecutive naturals, for example, 316345 + ... + 316391.

It is an arithmetic number, because the mean of its divisors is an integer number (383656).

Almost surely, 214869296 is an apocalyptic number.

14869296 is a gapful number since it is divisible by the number (16) 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 14869296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

14869296 is an abundant number, since it is smaller than the sum of its proper divisors (31169424).

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

14869296 is a wasteful number, since it uses less digits than its factorization.

14869296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 14869296 is about 3856.0726134242. The cubic root of 14869296 is about 245.9027972107.

The spelling of 14869296 in words is "fourteen million, eight hundred sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 169 188 208 234 282 312 338 376 423 468 507 564 611 624 676 752 846 936 1014 1128 1222 1352 1521 1692 1833 1872 2028 2197 2256 2444 2704 3042 3384 3666 4056 4394 4888 5499 6084 6591 6768 7332 7943 8112 8788 9776 10998 12168 13182 14664 15886 17576 19773 21996 23829 24336 26364 29328 31772 35152 39546 43992 47658 52728 63544 71487 79092 87984 95316 103259 105456 127088 142974 158184 190632 206518 285948 309777 316368 381264 413036 571896 619554 826072 929331 1143792 1239108 1652144 1858662 2478216 3717324 4956432 7434648 14869296