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12076380 = 22325232917
BaseRepresentation
bin101110000100…
…010101011100
3211201112200100
4232010111130
511042421010
61110501100
7204435051
oct56042534
924645610
1012076380
1168a9188
124064790
13266a9b4
141865028
1510d82c0
hexb8455c

12076380 has 72 divisors (see below), whose sum is σ = 38237472. Its totient is φ = 3079296.

The previous prime is 12076349. The next prime is 12076387. The reversal of 12076380 is 8367021.

12076380 is a `hidden beast` number, since 1 + 20 + 7 + 638 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12076387) 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 23 ways as a sum of consecutive naturals, for example, 2682 + ... + 5598.

It is an arithmetic number, because the mean of its divisors is an integer number (531076).

Almost surely, 212076380 is an apocalyptic number.

12076380 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 12076380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19118736).

12076380 is an abundant number, since it is smaller than the sum of its proper divisors (26161092).

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

12076380 is a wasteful number, since it uses less digits than its factorization.

12076380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12076380 is about 3475.1086313956. The cubic root of 12076380 is about 229.4275619705.

The spelling of 12076380 in words is "twelve million, seventy-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2917 4140 5834 8751 11668 14585 17502 26253 29170 35004 43755 52506 58340 67091 87510 105012 131265 134182 175020 201273 262530 268364 335455 402546 525060 603819 670910 805092 1006365 1207638 1341820 2012730 2415276 3019095 4025460 6038190 12076380