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2667380 = 225197677
BaseRepresentation
bin1010001011001101110100
312000111221212
422023031310
51140324010
6133100552
731446422
oct12131564
95014855
102667380
111562051
12a87758
13725141
144d6112
1537a505
hex28b374

2667380 has 24 divisors (see below), whose sum is σ = 5638248. Its totient is φ = 1059968.

The previous prime is 2667361. The next prime is 2667383. The reversal of 2667380 is 837662.

2667380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 784996 = 1372^2 + 886^2 .

It is a super-2 number, since 2×26673802 = 14229832128800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667383) 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 7 ways as a sum of consecutive naturals, for example, 3602 + ... + 4278.

It is an arithmetic number, because the mean of its divisors is an integer number (234927).

22667380 is an apocalyptic number.

2667380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667380 is an abundant number, since it is smaller than the sum of its proper divisors (2970868).

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

2667380 is a wasteful number, since it uses less digits than its factorization.

2667380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2667380 is about 1633.2115600864. The cubic root of 2667380 is about 138.6846187105.

The spelling of 2667380 in words is "two million, six hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 197 394 677 788 985 1354 1970 2708 3385 3940 6770 13540 133369 266738 533476 666845 1333690 2667380