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14201520 = 2435471259
BaseRepresentation
bin110110001011…
…001010110000
3222201111211020
4312023022300
512113422040
61224215440
7231465564
oct66131260
928644736
1014201520
11801a8a3
12490a580
132c33088
141c596a4
1513a7cd0
hexd8b2b0

14201520 has 80 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3703552.

The previous prime is 14201507. The next prime is 14201573. The reversal of 14201520 is 2510241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14201520.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10651 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 214201520 is an apocalyptic number.

14201520 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 14201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14201520 is an abundant number, since it is smaller than the sum of its proper divisors (30795600).

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

14201520 is a wasteful number, since it uses less digits than its factorization.

14201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 14201520 is about 3768.4904139456. The cubic root of 14201520 is about 242.1651310176.

Adding to 14201520 its reverse (2510241), we get a palindrome (16711761).

The spelling of 14201520 in words is "fourteen million, two hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1259 1410 1880 2256 2518 2820 3760 3777 5036 5640 6295 7554 10072 11280 12590 15108 18885 20144 25180 30216 37770 50360 59173 60432 75540 100720 118346 151080 177519 236692 295865 302160 355038 473384 591730 710076 887595 946768 1183460 1420152 1775190 2366920 2840304 3550380 4733840 7100760 14201520