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2180388 = 2237101257
BaseRepresentation
bin1000010100010100100100
311002202221010
420110110210
51024233023
6114422220
724350550
oct10242444
94082833
102180388
11125a181
12891970
135b4592
1440a860
152d1093
hex214524

2180388 has 48 divisors (see below), whose sum is σ = 5894784. Its totient is φ = 614400.

The previous prime is 2180371. The next prime is 2180389. The reversal of 2180388 is 8830812.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180389) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8356 + ... + 8612.

It is an arithmetic number, because the mean of its divisors is an integer number (122808).

22180388 is an apocalyptic number.

2180388 is a gapful number since it is divisible by the number (28) 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 2180388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947392).

2180388 is an abundant number, since it is smaller than the sum of its proper divisors (3714396).

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

2180388 is a wasteful number, since it uses less digits than its factorization.

2180388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2180388 is about 1476.6136935570. The cubic root of 2180388 is about 129.6715178350.

The spelling of 2180388 in words is "two million, one hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 257 303 404 514 606 707 771 1028 1212 1414 1542 1799 2121 2828 3084 3598 4242 5397 7196 8484 10794 21588 25957 51914 77871 103828 155742 181699 311484 363398 545097 726796 1090194 2180388