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2137919 = 7323271
BaseRepresentation
bin1000001001111100111111
311000121200012
420021330333
51021403134
6113453435
724113000
oct10117477
94017605
102137919
111230283
1287127b
1359b154
143d91a7
152c36ce
hex209f3f

2137919 has 16 divisors (see below), whose sum is σ = 2611200. Its totient is φ = 1746360.

The previous prime is 2137913. The next prime is 2137921. The reversal of 2137919 is 9197312.

It is a happy number.

It is not a de Polignac number, because 2137919 - 216 = 2072383 is a prime.

It is a super-2 number, since 2×21379192 = 9141395301122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7754 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (163200).

22137919 is an apocalyptic number.

2137919 is a deficient number, since it is larger than the sum of its proper divisors (473281).

2137919 is an equidigital number, since it uses as much as digits as its factorization.

2137919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 2137919 is about 1462.1624396762. The cubic root of 2137919 is about 128.8240896971.

The spelling of 2137919 in words is "two million, one hundred thirty-seven thousand, nine hundred nineteen".

Divisors: 1 7 23 49 161 271 343 1127 1897 6233 7889 13279 43631 92953 305417 2137919