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14819328 = 2133367
BaseRepresentation
bin111000100010…
…000000000000
31000212220022000
4320202000000
512243204303
61245344000
7236651016
oct70420000
930786260
1014819328
118401a87
124b68000
1330bb344
141d7a8b6
15147ada3
hexe22000

14819328 has 112 divisors (see below), whose sum is σ = 44561760. Its totient is φ = 4866048.

The previous prime is 14819303. The next prime is 14819339. The reversal of 14819328 is 82391841.

It is a super-2 number, since 2×148193282 = 439224964743168, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (13824) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14819292 and 14819301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221151 + ... + 221217.

Almost surely, 214819328 is an apocalyptic number.

14819328 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 14819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22280880).

14819328 is an abundant number, since it is smaller than the sum of its proper divisors (29742432).

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

14819328 is an frugal number, since it uses more digits than its factorization.

14819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14819328 is about 3849.5880299066. The cubic root of 14819328 is about 245.6270374518.

The spelling of 14819328 in words is "fourteen million, eight hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 128 134 144 192 201 216 256 268 288 384 402 432 512 536 576 603 768 804 864 1024 1072 1152 1206 1536 1608 1728 1809 2048 2144 2304 2412 3072 3216 3456 3618 4096 4288 4608 4824 6144 6432 6912 7236 8192 8576 9216 9648 12288 12864 13824 14472 17152 18432 19296 24576 25728 27648 28944 34304 36864 38592 51456 55296 57888 68608 73728 77184 102912 110592 115776 137216 154368 205824 221184 231552 274432 308736 411648 463104 548864 617472 823296 926208 1234944 1646592 1852416 2469888 3704832 4939776 7409664 14819328