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2672370 = 2325231291
BaseRepresentation
bin1010001100011011110010
312000202210200
422030123302
51141003440
6133140030
731500111
oct12143362
95022720
102672370
111565878
12a8a616
137274ac
144d7c78
1537bc30
hex28c6f2

2672370 has 48 divisors (see below), whose sum is σ = 7255872. Its totient is φ = 681120.

The previous prime is 2672363. The next prime is 2672377. The reversal of 2672370 is 732762.

2672370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2672363) and next prime (2672377).

It is a super-2 number, since 2×26723702 = 14283122833800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2672377) 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, 1425 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (151164).

22672370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627936).

2672370 is an abundant number, since it is smaller than the sum of its proper divisors (4583502).

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

2672370 is a wasteful number, since it uses less digits than its factorization.

2672370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2672370 is about 1634.7385111999. The cubic root of 2672370 is about 138.7710462353.

The spelling of 2672370 in words is "two million, six hundred seventy-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1291 2070 2582 3873 6455 7746 11619 12910 19365 23238 29693 38730 58095 59386 89079 116190 148465 178158 267237 296930 445395 534474 890790 1336185 2672370