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12059920 = 2451271187
BaseRepresentation
bin101110000000…
…010100010000
3211200201002201
4232000110100
511041404140
61110252544
7204336055
oct56002420
924621081
1012059920
116897884
124057154
132663362
14185d02c
1510d349a
hexb80510

12059920 has 40 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 4781952.

The previous prime is 12059893. The next prime is 12059921. The reversal of 12059920 is 2995021.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (12059921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9567 + ... + 10753.

Almost surely, 212059920 is an apocalyptic number.

12059920 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 12059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).

12059920 is an abundant number, since it is smaller than the sum of its proper divisors (16223984).

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

12059920 is a wasteful number, since it uses less digits than its factorization.

12059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 12059920 is about 3472.7395525723. The cubic root of 12059920 is about 229.3232786590.

The spelling of 12059920 in words is "twelve million, fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1187 1270 2032 2374 2540 4748 5080 5935 9496 10160 11870 18992 23740 47480 94960 150749 301498 602996 753745 1205992 1507490 2411984 3014980 6029960 12059920