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2129358 = 237112419
BaseRepresentation
bin1000000111110111001110
311000011221010
420013313032
51021114413
6113350050
724046020
oct10076716
94004833
102129358
111224900
12868326
1359729a
143d6010
152c0dc3
hex207dce

2129358 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 551760.

The previous prime is 2129357. The next prime is 2129371. The reversal of 2129358 is 8539212.

It is a happy number.

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

It is a d-powerful number, because it can be written as 212 + 1 + 219 + 94 + 313 + 52 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4873 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22129358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2129358 is an abundant number, since it is smaller than the sum of its proper divisors (3233202).

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

2129358 is a wasteful number, since it uses less digits than its factorization.

2129358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2129358 is about 1459.2319897809. The cubic root of 2129358 is about 128.6519069339.

The spelling of 2129358 in words is "two million, one hundred twenty-nine thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 419 462 726 838 847 1257 1694 2514 2541 2933 4609 5082 5866 8799 9218 13827 17598 27654 32263 50699 64526 96789 101398 152097 193578 304194 354893 709786 1064679 2129358