Search a number
-
+
14210100 = 22335219277
BaseRepresentation
bin110110001101…
…010000110100
3222201221121000
4312031100310
512114210400
61224323300
7231532602
oct66152064
928657530
1014210100
118026293
124913530
132c36c58
141c5c872
1513aa600
hexd8d434

14210100 has 144 divisors (see below), whose sum is σ = 48260800. Its totient is φ = 3576960.

The previous prime is 14210099. The next prime is 14210101. The reversal of 14210100 is 101241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14210099) and next prime (14210101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51162 + ... + 51438.

Almost surely, 214210100 is an apocalyptic number.

14210100 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 14210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24130400).

14210100 is an abundant number, since it is smaller than the sum of its proper divisors (34050700).

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

14210100 is a wasteful number, since it uses less digits than its factorization.

14210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 14210100 is about 3769.6286289235. The cubic root of 14210100 is about 242.2138900830.

Adding to 14210100 its reverse (101241), we get a palindrome (14311341).

The spelling of 14210100 in words is "fourteen million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 27 30 36 38 45 50 54 57 60 75 76 90 95 100 108 114 135 150 171 180 190 225 228 270 277 285 300 342 380 450 475 513 540 554 570 675 684 831 855 900 950 1026 1108 1140 1350 1385 1425 1662 1710 1900 2052 2493 2565 2700 2770 2850 3324 3420 4155 4275 4986 5130 5263 5540 5700 6925 7479 8310 8550 9972 10260 10526 12465 12825 13850 14958 15789 16620 17100 20775 21052 24930 25650 26315 27700 29916 31578 37395 41550 47367 49860 51300 52630 62325 63156 74790 78945 83100 94734 105260 124650 131575 142101 149580 157890 186975 189468 236835 249300 263150 284202 315780 373950 394725 473670 526300 568404 710505 747900 789450 947340 1184175 1421010 1578900 2368350 2842020 3552525 4736700 7105050 14210100