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2138634 = 2321729241
BaseRepresentation
bin1000001010001000001010
311000122122200
420022020022
51021414014
6113501030
724115041
oct10121012
94018580
102138634
111230873
12871776
1359b584
143d9558
152c3a09
hex20a20a

2138634 has 48 divisors (see below), whose sum is σ = 5096520. Its totient is φ = 645120.

The previous prime is 2138629. The next prime is 2138657. The reversal of 2138634 is 4368312.

It is a happy number.

2138634 is a `hidden beast` number, since 21 + 3 + 8 + 634 = 666.

2138634 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 2117025 + 21609 = 1455^2 + 147^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2138598 and 2138607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8754 + ... + 8994.

22138634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548260).

2138634 is an abundant number, since it is smaller than the sum of its proper divisors (2957886).

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

2138634 is a wasteful number, since it uses less digits than its factorization.

2138634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2138634 is about 1462.4069201149. The cubic root of 2138634 is about 128.8384492928.

It can be divided in two parts, 2138 and 634, that added together give a palindrome (2772).

The spelling of 2138634 in words is "two million, one hundred thirty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 241 261 306 482 493 522 723 986 1446 1479 2169 2958 4097 4338 4437 6989 8194 8874 12291 13978 20967 24582 36873 41934 62901 73746 118813 125802 237626 356439 712878 1069317 2138634