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12082480 = 245197949
BaseRepresentation
bin101110000101…
…110100110000
3211201212001021
4232011310300
511043114410
61110545224
7204461614
oct56056460
924655037
1012082480
116902823
124068214
1326706c7
141867344
1510d9eda
hexb85d30

12082480 has 40 divisors (see below), whose sum is σ = 29574000. Its totient is φ = 4578048.

The previous prime is 12082471. The next prime is 12082481. The reversal of 12082480 is 8428021.

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 (12082481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 5494.

It is an arithmetic number, because the mean of its divisors is an integer number (739350).

Almost surely, 212082480 is an apocalyptic number.

12082480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12082480 is an abundant number, since it is smaller than the sum of its proper divisors (17491520).

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

12082480 is a wasteful number, since it uses less digits than its factorization.

12082480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12082480 is about 3475.9861909967. The cubic root of 12082480 is about 229.4661848182.

The spelling of 12082480 in words is "twelve million, eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 7949 15898 31796 39745 63592 79490 127184 151031 158980 302062 317960 604124 635920 755155 1208248 1510310 2416496 3020620 6041240 12082480