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12352080 = 24351337107
BaseRepresentation
bin101111000111…
…101001010000
3212020112212110
4233013221100
511130231310
61120425320
7206663616
oct57075120
925215773
1012352080
116a77334
124178240
132736330
1418d76b6
15113ed20
hexbc7a50

12352080 has 160 divisors (see below), whose sum is σ = 42747264. Its totient is φ = 2930688.

The previous prime is 12352037. The next prime is 12352099. The reversal of 12352080 is 8025321.

12352080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115387 + ... + 115493.

Almost surely, 212352080 is an apocalyptic number.

12352080 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 12352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632).

12352080 is an abundant number, since it is smaller than the sum of its proper divisors (30395184).

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

12352080 is a wasteful number, since it uses less digits than its factorization.

12352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12352080 is about 3514.5526031061. The cubic root of 12352080 is about 231.1603616548.

The spelling of 12352080 in words is "twelve million, three hundred fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 107 111 120 130 148 156 185 195 208 214 222 240 260 296 312 321 370 390 428 444 481 520 535 555 592 624 642 740 780 856 888 962 1040 1070 1110 1284 1391 1443 1480 1560 1605 1712 1776 1924 2140 2220 2405 2568 2782 2886 2960 3120 3210 3848 3959 4173 4280 4440 4810 5136 5564 5772 6420 6955 7215 7696 7918 8346 8560 8880 9620 11128 11544 11877 12840 13910 14430 15836 16692 19240 19795 20865 22256 23088 23754 25680 27820 28860 31672 33384 38480 39590 41730 47508 51467 55640 57720 59385 63344 66768 79180 83460 95016 102934 111280 115440 118770 154401 158360 166920 190032 205868 237540 257335 308802 316720 333840 411736 475080 514670 617604 772005 823472 950160 1029340 1235208 1544010 2058680 2470416 3088020 4117360 6176040 12352080