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14074144 = 25783757
BaseRepresentation
bin110101101100…
…000100100000
3222111001002121
4311230010200
512100333034
61221354024
7230425330
oct65540440
928431077
1014074144
117a43127
124868914
132bba0c6
141c250c0
1513801b4
hexd6c120

14074144 has 48 divisors (see below), whose sum is σ = 32090688. Its totient is φ = 5951232.

The previous prime is 14074141. The next prime is 14074157. The reversal of 14074144 is 44147041.

It is not an unprimeable number, because it can be changed into a prime (14074141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18214 + ... + 18970.

It is an arithmetic number, because the mean of its divisors is an integer number (668556).

Almost surely, 214074144 is an apocalyptic number.

14074144 is a gapful number since it is divisible by the number (14) 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 14074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045344).

14074144 is an abundant number, since it is smaller than the sum of its proper divisors (18016544).

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

14074144 is an equidigital number, since it uses as much as digits as its factorization.

14074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 14074144 is about 3751.5522120850. The cubic root of 14074144 is about 241.4389479702.

The spelling of 14074144 in words is "fourteen million, seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 757 1162 1328 1514 2324 2656 3028 4648 5299 6056 9296 10598 12112 18592 21196 24224 42392 62831 84784 125662 169568 251324 439817 502648 879634 1005296 1759268 2010592 3518536 7037072 14074144