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14125540 = 22511213449
BaseRepresentation
bin110101111000…
…100111100100
3222120122121011
4311320213210
512104004130
61222432004
7231031222
oct65704744
928518534
1014125540
117a78800
124892604
132c07610
141c39b12
15139052a
hexd789e4

14125540 has 72 divisors (see below), whose sum is σ = 35191800. Its totient is φ = 4730880.

The previous prime is 14125513. The next prime is 14125541. The reversal of 14125540 is 4552141.

It can be written as a sum of positive squares in 4 ways, for example, as 465124 + 13660416 = 682^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125541) 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 23 ways as a sum of consecutive naturals, for example, 31236 + ... + 31684.

It is an arithmetic number, because the mean of its divisors is an integer number (488775).

Almost surely, 214125540 is an apocalyptic number.

14125540 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 14125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595900).

14125540 is an abundant number, since it is smaller than the sum of its proper divisors (21066260).

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

14125540 is a wasteful number, since it uses less digits than its factorization.

14125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 14125540 is about 3758.3959344380. The cubic root of 14125540 is about 241.7324867619.

Adding to 14125540 its reverse (4552141), we get a palindrome (18677681).

The spelling of 14125540 in words is "fourteen million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 449 484 572 605 715 898 1210 1430 1573 1796 2245 2420 2860 3146 4490 4939 5837 6292 7865 8980 9878 11674 15730 19756 23348 24695 29185 31460 49390 54329 58370 64207 98780 108658 116740 128414 217316 256828 271645 321035 543290 642070 706277 1086580 1284140 1412554 2825108 3531385 7062770 14125540