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14131000 = 2353131087
BaseRepresentation
bin110101111001…
…111100111000
3222120221002101
4311321330320
512104143000
61222513144
7231053152
oct65717470
928527071
1014131000
117a81914
1248957b4
132c09c50
141c3bad2
151391e6a
hexd79f38

14131000 has 64 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 5212800.

The previous prime is 14130983. The next prime is 14131001. The reversal of 14131000 is 13141.

It is a happy number.

It is a super-2 number, since 2×141310002 = 399370322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131001) 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, 12457 + ... + 13543.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 214131000 is an apocalyptic number.

14131000 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 14131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

14131000 is an abundant number, since it is smaller than the sum of its proper divisors (21511880).

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

14131000 is a wasteful number, since it uses less digits than its factorization.

14131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 14131000 is about 3759.1222379699. The cubic root of 14131000 is about 241.7636286830.

Adding to 14131000 its reverse (13141), we get a palindrome (14144141).

The spelling of 14131000 in words is "fourteen million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1087 1300 1625 2174 2600 3250 4348 5435 6500 8696 10870 13000 14131 21740 27175 28262 43480 54350 56524 70655 108700 113048 135875 141310 217400 271750 282620 353275 543500 565240 706550 1087000 1413100 1766375 2826200 3532750 7065500 14131000