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14937312 = 2531311969
BaseRepresentation
bin111000111110…
…110011100000
31001002220010210
4320332303200
512310443222
61252054120
7240652005
oct70766340
931086123
1014937312
118482695
125004340
13312cc60
141dab8ac
1514a0d0c
hexe3ece0

14937312 has 48 divisors (see below), whose sum is σ = 42230160. Its totient is φ = 4595712.

The previous prime is 14937311. The next prime is 14937317. The reversal of 14937312 is 21373941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14937312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14937311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4737 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 214937312 is an apocalyptic number.

14937312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14937312 is an abundant number, since it is smaller than the sum of its proper divisors (27292848).

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

14937312 is a wasteful number, since it uses less digits than its factorization.

14937312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11995 (or 11987 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 14937312 is about 3864.8818869404. The cubic root of 14937312 is about 246.2771679337.

The spelling of 14937312 in words is "fourteen million, nine hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 11969 23938 35907 47876 71814 95752 143628 155597 191504 287256 311194 383008 466791 574512 622388 933582 1149024 1244776 1867164 2489552 3734328 4979104 7468656 14937312