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14215320 = 2332575641
BaseRepresentation
bin110110001110…
…100010011000
3222202012202100
4312032202120
512114342240
61224403400
7231554040
oct66164230
928665670
1014215320
11802a1a9
124916560
132c39442
141c60720
1513abe30
hexd8e898

14215320 has 96 divisors (see below), whose sum is σ = 52809120. Its totient is φ = 3248640.

The previous prime is 14215319. The next prime is 14215321. The reversal of 14215320 is 2351241.

It is an interprime number because it is at equal distance from previous prime (14215319) and next prime (14215321).

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

It is a junction number, because it is equal to n+sod(n) for n = 14215293 and 14215302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14215321) 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 23 ways as a sum of consecutive naturals, for example, 301 + ... + 5340.

It is an arithmetic number, because the mean of its divisors is an integer number (550095).

Almost surely, 214215320 is an apocalyptic number.

14215320 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 14215320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404560).

14215320 is an abundant number, since it is smaller than the sum of its proper divisors (38593800).

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

14215320 is a wasteful number, since it uses less digits than its factorization.

14215320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 14215320 is about 3770.3209412462. The cubic root of 14215320 is about 242.2435450871.

Adding to 14215320 its reverse (2351241), we get a palindrome (16566561).

It can be divided in two parts, 14215 and 320, that added together give a triangular number (14535 = T170).

The spelling of 14215320 in words is "fourteen million, two hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 5641 11282 16923 22564 28205 33846 39487 45128 50769 56410 67692 78974 84615 101538 112820 118461 135384 157948 169230 197435 203076 225640 236922 253845 315896 338460 355383 394870 406152 473844 507690 592305 676920 710766 789740 947688 1015380 1184610 1421532 1579480 1776915 2030760 2369220 2843064 3553830 4738440 7107660 14215320