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14932272 = 2431132753
BaseRepresentation
bin111000111101…
…100100110000
31001002122020010
4320331210300
512310313042
61252014520
7240631215
oct70754460
931078203
1014932272
118479923
125001440
13312a884
141da9b0c
15149e59c
hexe3d930

14932272 has 40 divisors (see below), whose sum is σ = 38930544. Its totient is φ = 4931584.

The previous prime is 14932261. The next prime is 14932301. The reversal of 14932272 is 27223941.

14932272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4048 + ... + 6800.

Almost surely, 214932272 is an apocalyptic number.

14932272 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 14932272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465272).

14932272 is an abundant number, since it is smaller than the sum of its proper divisors (23998272).

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

14932272 is a wasteful number, since it uses less digits than its factorization.

14932272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 14932272 is about 3864.2298068309. The cubic root of 14932272 is about 246.2494660162.

The spelling of 14932272 in words is "fourteen million, nine hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 2753 5424 5506 8259 11012 16518 22024 33036 44048 66072 132144 311089 622178 933267 1244356 1866534 2488712 3733068 4977424 7466136 14932272