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14311728 = 2437409
BaseRepresentation
bin110110100110…
…000100110000
3222221010000000
4312212010300
512130433403
61230430000
7232435104
oct66460460
928833000
1014311728
118095682
124962300
132c712a2
141c87904
1513ca7a3
hexda6130

14311728 has 80 divisors (see below), whose sum is σ = 41688800. Its totient is φ = 4758912.

The previous prime is 14311721. The next prime is 14311751. The reversal of 14311728 is 82711341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14311721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34788 + ... + 35196.

It is an arithmetic number, because the mean of its divisors is an integer number (521110).

Almost surely, 214311728 is an apocalyptic number.

14311728 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 14311728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20844400).

14311728 is an abundant number, since it is smaller than the sum of its proper divisors (27377072).

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

14311728 is an frugal number, since it uses more digits than its factorization.

14311728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 14311728 is about 3783.0844558376. The cubic root of 14311728 is about 242.7899419272.

The spelling of 14311728 in words is "fourteen million, three hundred eleven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 409 432 486 648 729 818 972 1227 1296 1458 1636 1944 2187 2454 2916 3272 3681 3888 4374 4908 5832 6544 7362 8748 9816 11043 11664 14724 17496 19632 22086 29448 33129 34992 44172 58896 66258 88344 99387 132516 176688 198774 265032 298161 397548 530064 596322 795096 894483 1192644 1590192 1788966 2385288 3577932 4770576 7155864 14311728