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2137914 = 2355383
BaseRepresentation
bin1000001001111100111010
311000121200000
420021330322
51021403124
6113453430
724112662
oct10117472
94017600
102137914
111230279
12871276
1359b14c
143d91a2
152c36c9
hex209f3a

2137914 has 48 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 690768.

The previous prime is 2137913. The next prime is 2137921. The reversal of 2137914 is 4197312.

2137914 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 (27).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25717 + ... + 25799.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

22137914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

2137914 is an abundant number, since it is smaller than the sum of its proper divisors (2815398).

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

2137914 is an equidigital number, since it uses as much as digits as its factorization.

2137914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 2137914 is about 1462.1607298789. The cubic root of 2137914 is about 128.8239892691.

The spelling of 2137914 in words is "two million, one hundred thirty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 83 106 159 162 166 243 249 318 477 486 498 747 954 1431 1494 2241 2862 4293 4399 4482 6723 8586 8798 12879 13197 13446 20169 25758 26394 39591 40338 79182 118773 237546 356319 712638 1068957 2137914