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2138868 = 2232195359
BaseRepresentation
bin1000001010001011110100
311000122222100
420022023310
51021420433
6113502100
724115524
oct10121364
94018870
102138868
111230a66
12871930
1359b704
143d9684
152c3b13
hex20a2f4

2138868 has 72 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 651456.

The previous prime is 2138867. The next prime is 2138879. The reversal of 2138868 is 8688312.

2138868 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 213 + 1 + 33 + 83 + 85 + 63 + 87 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138861) 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, 36223 + ... + 36281.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22138868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2138868 is an abundant number, since it is smaller than the sum of its proper divisors (3757932).

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

2138868 is a wasteful number, since it uses less digits than its factorization.

2138868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2138868 is about 1462.4869230185. The cubic root of 2138868 is about 128.8431481018.

The spelling of 2138868 in words is "two million, one hundred thirty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 53 57 59 76 106 114 118 159 171 177 212 228 236 318 342 354 477 531 636 684 708 954 1007 1062 1121 1908 2014 2124 2242 3021 3127 3363 4028 4484 6042 6254 6726 9063 9381 10089 12084 12508 13452 18126 18762 20178 28143 36252 37524 40356 56286 59413 112572 118826 178239 237652 356478 534717 712956 1069434 2138868