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14144020 = 22511239269
BaseRepresentation
bin110101111101…
…001000010100
3222121120221121
4311331020110
512110102040
61223053324
7231136132
oct65751024
928546847
1014144020
117a90680
1248a1244
132c12b57
141c42752
151395c4a
hexd7d214

14144020 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5102720.

The previous prime is 14144003. The next prime is 14144021. The reversal of 14144020 is 2044141.

14144020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14143985 and 14144003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14144021) 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, 52446 + ... + 52714.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 214144020 is an apocalyptic number.

14144020 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 14144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

14144020 is an abundant number, since it is smaller than the sum of its proper divisors (18515180).

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

14144020 is a wasteful number, since it uses less digits than its factorization.

14144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 14144020 is about 3760.8536265056. The cubic root of 14144020 is about 241.8378578288.

Adding to 14144020 its reverse (2044141), we get a palindrome (16188161).

The spelling of 14144020 in words is "fourteen million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 239 269 478 538 956 1076 1195 1345 2390 2629 2690 2959 4780 5258 5380 5918 10516 11836 13145 14795 26290 29590 52580 59180 64291 128582 257164 321455 642910 707201 1285820 1414402 2828804 3536005 7072010 14144020