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14573440 = 27573253
BaseRepresentation
bin110111100101…
…111110000000
31000102102000001
4313211332000
512212322230
61240205344
7234605110
oct67457600
930372001
1014573440
118254272
124a69854
13303344b
141d15040
15142d0ca
hexde5f80

14573440 has 64 divisors (see below), whose sum is σ = 39828960. Its totient is φ = 4995072.

The previous prime is 14573423. The next prime is 14573443. The reversal of 14573440 is 4437541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14573399 and 14573408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14573443) 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, 2854 + ... + 6106.

Almost surely, 214573440 is an apocalyptic number.

14573440 is a gapful number since it is divisible by the number (10) 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 14573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19914480).

14573440 is an abundant number, since it is smaller than the sum of its proper divisors (25255520).

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

14573440 is an equidigital number, since it uses as much as digits as its factorization.

14573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 14573440 is about 3817.5175179690. The cubic root of 14573440 is about 244.2609409445.

The spelling of 14573440 in words is "fourteen million, five hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 3253 4480 6506 13012 16265 22771 26024 32530 45542 52048 65060 91084 104096 113855 130120 182168 208192 227710 260240 364336 416384 455420 520480 728672 910840 1040960 1457344 1821680 2081920 2914688 3643360 7286720 14573440