Search a number
-
+
2143638 = 233753107
BaseRepresentation
bin1000001011010110010110
311000220112000
420023112112
51022044023
6113540130
724135450
oct10132626
94026460
102143638
111234602
12874646
135a0933
143db2d0
152c5243
hex20b596

2143638 has 64 divisors (see below), whose sum is σ = 5598720. Its totient is φ = 595296.

The previous prime is 2143627. The next prime is 2143667. The reversal of 2143638 is 8363412.

It is a happy number.

2143638 is a `hidden beast` number, since 21 + 4 + 3 + 638 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

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, 19981 + ... + 20087.

It is an arithmetic number, because the mean of its divisors is an integer number (87480).

22143638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799360).

2143638 is an abundant number, since it is smaller than the sum of its proper divisors (3455082).

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

2143638 is a wasteful number, since it uses less digits than its factorization.

2143638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

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

The square root of 2143638 is about 1464.1167986196. The cubic root of 2143638 is about 128.9388569084.

The spelling of 2143638 in words is "two million, one hundred forty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 107 126 159 189 214 318 321 371 378 477 642 742 749 954 963 1113 1431 1498 1926 2226 2247 2862 2889 3339 4494 5671 5778 6678 6741 10017 11342 13482 17013 20034 20223 34026 39697 40446 51039 79394 102078 119091 153117 238182 306234 357273 714546 1071819 2143638