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14437072 = 2413312239
BaseRepresentation
bin110111000100…
…101011010000
31000011110221101
4313010223100
512143441242
61233234144
7233466406
oct67045320
930143841
1014437072
118170871
124a02954
132cb6360
141cbb476
1514029b7
hexdc4ad0

14437072 has 40 divisors (see below), whose sum is σ = 31109120. Its totient is φ = 6445440.

The previous prime is 14437051. The next prime is 14437081. The reversal of 14437072 is 27073441.

It is a self number, because there is not a number n which added to its sum of digits gives 14437072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5329 + ... + 7567.

It is an arithmetic number, because the mean of its divisors is an integer number (777728).

Almost surely, 214437072 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 14437072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554560).

14437072 is an abundant number, since it is smaller than the sum of its proper divisors (16672048).

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

14437072 is a wasteful number, since it uses less digits than its factorization.

14437072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 14437072 is about 3799.6147173102. The cubic root of 14437072 is about 243.4966781321.

It can be divided in two parts, 1443 and 7072, that added together give a triangular number (8515 = T130).

The spelling of 14437072 in words is "fourteen million, four hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 2239 3224 4478 6448 8956 17912 29107 35824 58214 69409 116428 138818 232856 277636 465712 555272 902317 1110544 1804634 3609268 7218536 14437072