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14509040 = 2457131993
BaseRepresentation
bin110111010110…
…001111110000
31000022010122212
4313112033300
512203242130
61234551252
7234216260
oct67261760
930263585
1014509040
11820a947
124a38528
133010040
141cd97a0
151418e95
hexdd63f0

14509040 has 80 divisors (see below), whose sum is σ = 41539008. Its totient is φ = 4589568.

The previous prime is 14509037. The next prime is 14509043. The reversal of 14509040 is 4090541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14509037) and next prime (14509043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14508997 and 14509015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14509043) 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, 6284 + ... + 8276.

Almost surely, 214509040 is an apocalyptic number.

14509040 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 14509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769504).

14509040 is an abundant number, since it is smaller than the sum of its proper divisors (27029968).

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

14509040 is a wasteful number, since it uses less digits than its factorization.

14509040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 14509040 is about 3809.0733781328. The cubic root of 14509040 is about 243.9006134693.

Adding to 14509040 its reverse (4090541), we get a palindrome (18599581).

The spelling of 14509040 in words is "fourteen million, five hundred nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 1993 3640 3986 7280 7972 9965 13951 15944 19930 25909 27902 31888 39860 51818 55804 69755 79720 103636 111608 129545 139510 159440 181363 207272 223216 259090 279020 362726 414544 518180 558040 725452 906815 1036360 1116080 1450904 1813630 2072720 2901808 3627260 7254520 14509040