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2138430 = 235717599
BaseRepresentation
bin1000001010000100111110
311000122101010
420022010332
51021412210
6113500050
724114330
oct10120476
94018333
102138430
1112306a8
12871626
1359b458
143d9450
152c3920
hex20a13e

2138430 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 459264.

The previous prime is 2138429. The next prime is 2138467. The reversal of 2138430 is 348312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2138397 and 2138406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3271 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22138430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2138430 is an abundant number, since it is smaller than the sum of its proper divisors (4082370).

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

2138430 is a wasteful number, since it uses less digits than its factorization.

2138430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2138430 is about 1462.3371704227. The cubic root of 2138430 is about 128.8343526156.

The spelling of 2138430 in words is "two million, one hundred thirty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 599 714 1190 1198 1785 1797 2995 3570 3594 4193 5990 8386 8985 10183 12579 17970 20366 20965 25158 30549 41930 50915 61098 62895 71281 101830 125790 142562 152745 213843 305490 356405 427686 712810 1069215 2138430