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14995152 = 2433103337
BaseRepresentation
bin111001001100…
…111011010000
31001012211111000
4321030323100
512314321102
61253222000
7241312434
oct71147320
931184430
1014995152
118512097
125031900
133150393
141dc49c4
1514b301c
hexe4ced0

14995152 has 80 divisors (see below), whose sum is σ = 43588480. Its totient is φ = 4935168.

The previous prime is 14995151. The next prime is 14995159. The reversal of 14995152 is 25159941.

14995152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14995151) 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, 44328 + ... + 44664.

It is an arithmetic number, because the mean of its divisors is an integer number (544856).

Almost surely, 214995152 is an apocalyptic number.

14995152 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 14995152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21794240).

14995152 is an abundant number, since it is smaller than the sum of its proper divisors (28593328).

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

14995152 is a wasteful number, since it uses less digits than its factorization.

14995152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 14995152 is about 3872.3574215199. The cubic root of 14995152 is about 246.5946352454.

The spelling of 14995152 in words is "fourteen million, nine hundred ninety-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 337 412 432 618 674 824 927 1011 1236 1348 1648 1854 2022 2472 2696 2781 3033 3708 4044 4944 5392 5562 6066 7416 8088 9099 11124 12132 14832 16176 18198 22248 24264 34711 36396 44496 48528 69422 72792 104133 138844 145584 208266 277688 312399 416532 555376 624798 833064 937197 1249596 1666128 1874394 2499192 3748788 4998384 7497576 14995152