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2137014 = 2321143251
BaseRepresentation
bin1000001001101110110110
311000120102200
420021232312
51021341024
6113445330
724110235
oct10115666
94016380
102137014
11122a630
12870846
1359a909
143d8b1c
152c32c9
hex209bb6

2137014 has 48 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 630000.

The previous prime is 2136997. The next prime is 2137021. The reversal of 2137014 is 4107312.

2137014 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 (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 8389 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (108108).

22137014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

2137014 is an abundant number, since it is smaller than the sum of its proper divisors (3052170).

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

2137014 is a wasteful number, since it uses less digits than its factorization.

2137014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2137014 is about 1461.8529337796. The cubic root of 2137014 is about 128.8059096732.

It can be divided in two parts, 213 and 7014, that added together give a palindrome (7227).

The spelling of 2137014 in words is "two million, one hundred thirty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 251 258 387 473 502 753 774 946 1419 1506 2259 2761 2838 4257 4518 5522 8283 8514 10793 16566 21586 24849 32379 49698 64758 97137 118723 194274 237446 356169 712338 1068507 2137014