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12059680 = 255193967
BaseRepresentation
bin101110000000…
…010000100000
3211200200202211
4232000100200
511041402210
61110251504
7204335263
oct56002040
924620684
1012059680
116897686
124056b94
132663209
14185ccda
1510d338a
hexb80420

12059680 has 48 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4568832.

The previous prime is 12059653. The next prime is 12059693. The reversal of 12059680 is 8695021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 5023.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 212059680 is an apocalyptic number.

12059680 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 12059680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12059680 is an abundant number, since it is smaller than the sum of its proper divisors (17938400).

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

12059680 is a wasteful number, since it uses less digits than its factorization.

12059680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 12059680 is about 3472.7049975487. The cubic root of 12059680 is about 229.3217574230.

The spelling of 12059680 in words is "twelve million, fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3967 7934 15868 19835 31736 39670 63472 75373 79340 126944 150746 158680 301492 317360 376865 602984 634720 753730 1205968 1507460 2411936 3014920 6029840 12059680