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14521680 = 2437583
BaseRepresentation
bin110111011001…
…010101010000
31000022210000000
4313121111100
512204143210
61235130000
7234301155
oct67312520
930283000
1014521680
118219398
124a43900
133015a14
141d0022c
15141cac0
hexdd9550

14521680 has 160 divisors (see below), whose sum is σ = 51246720. Its totient is φ = 3825792.

The previous prime is 14521673. The next prime is 14521687. The reversal of 14521680 is 8612541.

14521680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14521673) and next prime (14521687).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14521687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174919 + ... + 175001.

It is an arithmetic number, because the mean of its divisors is an integer number (320292).

Almost surely, 214521680 is an apocalyptic number.

14521680 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 14521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623360).

14521680 is an abundant number, since it is smaller than the sum of its proper divisors (36725040).

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

14521680 is an frugal number, since it uses more digits than its factorization.

14521680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 14521680 is about 3810.7322131055. The cubic root of 14521680 is about 243.9714201050.

The spelling of 14521680 in words is "fourteen million, five hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 83 90 108 120 135 144 162 166 180 216 240 243 249 270 324 332 360 405 415 432 486 498 540 648 664 720 729 747 810 830 972 996 1080 1215 1245 1296 1328 1458 1494 1620 1660 1944 1992 2160 2187 2241 2430 2490 2916 2988 3240 3320 3645 3735 3888 3984 4374 4482 4860 4980 5832 5976 6480 6640 6723 7290 7470 8748 8964 9720 9960 10935 11205 11664 11952 13446 14580 14940 17496 17928 19440 19920 20169 21870 22410 26892 29160 29880 33615 34992 35856 40338 43740 44820 53784 58320 59760 60507 67230 80676 87480 89640 100845 107568 121014 134460 161352 174960 179280 181521 201690 242028 268920 302535 322704 363042 403380 484056 537840 605070 726084 806760 907605 968112 1210140 1452168 1613520 1815210 2420280 2904336 3630420 4840560 7260840 14521680