Search a number
-
+
14246144 = 28115059
BaseRepresentation
bin110110010110…
…000100000000
3222210210000222
4312112010000
512121334034
61225202212
7232042643
oct66260400
928723028
1014246144
118050380
124930368
132c4a493
141c6ba5a
1513b612e
hexd96100

14246144 has 36 divisors (see below), whose sum is σ = 31027920. Its totient is φ = 6474240.

The previous prime is 14246137. The next prime is 14246159. The reversal of 14246144 is 44164241.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287 + ... + 5345.

Almost surely, 214246144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513960).

14246144 is an abundant number, since it is smaller than the sum of its proper divisors (16781776).

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

14246144 is an equidigital number, since it uses as much as digits as its factorization.

14246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5072 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 14246144 is about 3774.4064434027. The cubic root of 14246144 is about 242.4185094806.

The spelling of 14246144 in words is "fourteen million, two hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 5059 10118 20236 40472 55649 80944 111298 161888 222596 323776 445192 647552 890384 1295104 1780768 3561536 7123072 14246144