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12385520 = 2457171301
BaseRepresentation
bin101111001111…
…110011110000
3212022020201222
4233033303300
511132314040
61121244212
7210163250
oct57176360
925266658
1012385520
116a9a474
124193668
132748614
141905960
151149bb5
hexbcfcf0

12385520 has 80 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 3993600.

The previous prime is 12385519. The next prime is 12385531. The reversal of 12385520 is 2558321.

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

It is a super-2 number, since 2×123855202 = 306802211340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12385520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8870 + ... + 10170.

Almost surely, 212385520 is an apocalyptic number.

12385520 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 12385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

12385520 is an abundant number, since it is smaller than the sum of its proper divisors (22487248).

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

12385520 is a wasteful number, since it uses less digits than its factorization.

12385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 12385520 is about 3519.3067499154. The cubic root of 12385520 is about 231.3687756039.

The spelling of 12385520 in words is "twelve million, three hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1301 1360 1904 2380 2602 4760 5204 6505 9107 9520 10408 13010 18214 20816 22117 26020 36428 44234 45535 52040 72856 88468 91070 104080 110585 145712 154819 176936 182140 221170 309638 353872 364280 442340 619276 728560 774095 884680 1238552 1548190 1769360 2477104 3096380 6192760 12385520