Search a number
-
+
14391072 = 2532107467
BaseRepresentation
bin110110111001…
…011100100000
31000002010211200
4312321130200
512141003242
61232241200
7233215323
oct66713440
930063750
1014391072
11813a253
1249a0200
132c9b437
141ca87ba
1513e404c
hexdb9720

14391072 has 72 divisors (see below), whose sum is σ = 41395536. Its totient is φ = 4742016.

The previous prime is 14391049. The next prime is 14391073. The reversal of 14391072 is 27019341.

14391072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14391073) 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, 30583 + ... + 31049.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 214391072 is an apocalyptic number.

14391072 is a gapful number since it is divisible by the number (12) 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 14391072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20697768).

14391072 is an abundant number, since it is smaller than the sum of its proper divisors (27004464).

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

14391072 is a wasteful number, since it uses less digits than its factorization.

14391072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 14391072 is about 3793.5566425190. The cubic root of 14391072 is about 243.2377898918.

The spelling of 14391072 in words is "fourteen million, three hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 467 642 856 934 963 1284 1401 1712 1868 1926 2568 2802 3424 3736 3852 4203 5136 5604 7472 7704 8406 10272 11208 14944 15408 16812 22416 30816 33624 44832 49969 67248 99938 134496 149907 199876 299814 399752 449721 599628 799504 899442 1199256 1599008 1798884 2398512 3597768 4797024 7195536 14391072