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12010380 = 2235474259
BaseRepresentation
bin101101110100…
…001110001100
3211121012010220
4231310032030
511033313010
61105231340
7204041454
oct55641614
924535126
1012010380
116863638
124032550
132646945
141848d64
1510c3970
hexb7438c

12010380 has 48 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 3133888.

The previous prime is 12010367. The next prime is 12010387. The reversal of 12010380 is 8301021.

It is a happy number.

12010380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12010387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691 + ... + 4949.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 212010380 is an apocalyptic number.

12010380 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 12010380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

12010380 is an abundant number, since it is smaller than the sum of its proper divisors (22342260).

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

12010380 is a wasteful number, since it uses less digits than its factorization.

12010380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12010380 is about 3465.5995152354. The cubic root of 12010380 is about 229.0088413410.

The spelling of 12010380 in words is "twelve million, ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4259 8518 12777 17036 21295 25554 42590 51108 63885 85180 127770 200173 255540 400346 600519 800692 1000865 1201038 2001730 2402076 3002595 4003460 6005190 12010380