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12138080 = 255107709
BaseRepresentation
bin101110010011…
…011001100000
3211211200022112
4232103121200
511101404310
61112054452
7205112663
oct56233140
924750275
1012138080
116940579
124094428
13268cac6
14187d6da
1510eb705
hexb93660

12138080 has 48 divisors (see below), whose sum is σ = 28985040. Its totient is φ = 4803072.

The previous prime is 12138073. The next prime is 12138097. The reversal of 12138080 is 8083121.

It is a congruent number.

It is an unprimeable number.

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, 16766 + ... + 17474.

It is an arithmetic number, because the mean of its divisors is an integer number (603855).

Almost surely, 212138080 is an apocalyptic number.

12138080 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 12138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492520).

12138080 is an abundant number, since it is smaller than the sum of its proper divisors (16846960).

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

12138080 is a wasteful number, since it uses less digits than its factorization.

12138080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 12138080 is about 3483.9747415847. The cubic root of 12138080 is about 229.8176248026.

The spelling of 12138080 in words is "twelve million, one hundred thirty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 709 856 1070 1418 1712 2140 2836 3424 3545 4280 5672 7090 8560 11344 14180 17120 22688 28360 56720 75863 113440 151726 303452 379315 606904 758630 1213808 1517260 2427616 3034520 6069040 12138080