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12078080 = 21057337
BaseRepresentation
bin101110000100…
…110000000000
3211201122000022
4232010300000
511042444310
61110513012
7204443030
oct56046000
924648008
1012078080
1168aa493
124065768
13266b6c1
1418658c0
1510d8a55
hexb84c00

12078080 has 88 divisors (see below), whose sum is σ = 33210528. Its totient is φ = 4128768.

The previous prime is 12078049. The next prime is 12078097. The reversal of 12078080 is 8087021.

It is an unprimeable number.

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, 35672 + ... + 36008.

Almost surely, 212078080 is an apocalyptic number.

12078080 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 12078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16605264).

12078080 is an abundant number, since it is smaller than the sum of its proper divisors (21132448).

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

12078080 is an equidigital number, since it uses as much as digits as its factorization.

12078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 12078080 is about 3475.3532194584. The cubic root of 12078080 is about 229.4383270220.

The spelling of 12078080 in words is "twelve million, seventy-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 337 448 512 560 640 674 896 1024 1120 1280 1348 1685 1792 2240 2359 2560 2696 3370 3584 4480 4718 5120 5392 6740 7168 8960 9436 10784 11795 13480 17920 18872 21568 23590 26960 35840 37744 43136 47180 53920 75488 86272 94360 107840 150976 172544 188720 215680 301952 345088 377440 431360 603904 754880 862720 1207808 1509760 1725440 2415616 3019520 6039040 12078080