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14390100 = 22325259271
BaseRepresentation
bin110110111001…
…001101010100
31000002002111200
4312321031110
512140440400
61232232500
7233212434
oct66711524
930062450
1014390100
11813954a
12499b730
132c9ab6a
141ca82c4
1513e3b00
hexdb9354

14390100 has 108 divisors (see below), whose sum is σ = 46038720. Its totient is φ = 3758400.

The previous prime is 14390093. The next prime is 14390113. The reversal of 14390100 is 109341.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 52965 + ... + 53235.

Almost surely, 214390100 is an apocalyptic number.

14390100 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 14390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23019360).

14390100 is an abundant number, since it is smaller than the sum of its proper divisors (31648620).

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

14390100 is a wasteful number, since it uses less digits than its factorization.

14390100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 14390100 is about 3793.4285283896. The cubic root of 14390100 is about 243.2323135229.

Adding to 14390100 its reverse (109341), we get a palindrome (14499441).

The spelling of 14390100 in words is "fourteen million, three hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 59 60 75 90 100 118 150 177 180 225 236 271 295 300 354 450 531 542 590 708 813 885 900 1062 1084 1180 1355 1475 1626 1770 2124 2439 2655 2710 2950 3252 3540 4065 4425 4878 5310 5420 5900 6775 8130 8850 9756 10620 12195 13275 13550 15989 16260 17700 20325 24390 26550 27100 31978 40650 47967 48780 53100 60975 63956 79945 81300 95934 121950 143901 159890 191868 239835 243900 287802 319780 399725 479670 575604 719505 799450 959340 1199175 1439010 1598900 2398350 2878020 3597525 4796700 7195050 14390100