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2137278 = 2311134753
BaseRepresentation
bin1000001001110010111110
311000120210110
420021302332
51021343103
6113450450
724111063
oct10116276
94016713
102137278
11122a850
12870a26
1359aa80
143d8c6a
152c3403
hex209cbe

2137278 has 64 divisors (see below), whose sum is σ = 5225472. Its totient is φ = 574080.

The previous prime is 2137273. The next prime is 2137279. The reversal of 2137278 is 8727312.

2137278 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2137278 is a nontrivial binomial coefficient, being equal to C(2068, 2).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137273) 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 31 ways as a sum of consecutive naturals, for example, 40300 + ... + 40352.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

22137278 is an apocalyptic number.

2137278 is the 2067-th triangular number and also the 1034-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612736).

2137278 is an abundant number, since it is smaller than the sum of its proper divisors (3088194).

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

2137278 is a wasteful number, since it uses less digits than its factorization.

2137278 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129.

The product of its digits is 4704, while the sum is 30.

The square root of 2137278 is about 1461.9432273519. The cubic root of 2137278 is about 128.8112135473.

It can be divided in two parts, 2137 and 278, that added together give a triangular number (2415 = T69).

The spelling of 2137278 in words is "two million, one hundred thirty-seven thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 47 53 66 78 94 106 141 143 159 282 286 318 429 517 583 611 689 858 1034 1166 1222 1378 1551 1749 1833 2067 2491 3102 3498 3666 4134 4982 6721 7473 7579 13442 14946 15158 20163 22737 27401 32383 40326 45474 54802 64766 82203 97149 164406 194298 356213 712426 1068639 2137278