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14247936 = 21132773
BaseRepresentation
bin110110010110…
…100000000000
3222210212111100
4312112200000
512121413221
61225214400
7232051113
oct66264000
928725440
1014247936
11805175a
124931400
132c4b241
141c6c57a
1513b6926
hexd96800

14247936 has 72 divisors (see below), whose sum is σ = 41203890. Its totient is φ = 4743168.

The previous prime is 14247901. The next prime is 14247943. The reversal of 14247936 is 63974241.

It can be written as a sum of positive squares in only one way, i.e., 14017536 + 230400 = 3744^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14247936.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18046 + ... + 18818.

Almost surely, 214247936 is an apocalyptic number.

14247936 is a gapful number since it is divisible by the number (16) 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 14247936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601945).

14247936 is an abundant number, since it is smaller than the sum of its proper divisors (26955954).

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

14247936 is an equidigital number, since it uses as much as digits as its factorization.

14247936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 778 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 14247936 is about 3774.6438242568. The cubic root of 14247936 is about 242.4286735352.

The spelling of 14247936 in words is "fourteen million, two hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 773 1024 1152 1536 1546 2048 2304 2319 3072 3092 4608 4638 6144 6184 6957 9216 9276 12368 13914 18432 18552 24736 27828 37104 49472 55656 74208 98944 111312 148416 197888 222624 296832 395776 445248 593664 791552 890496 1187328 1583104 1780992 2374656 3561984 4749312 7123968 14247936