Search a number
-
+
2134188 = 22347941
BaseRepresentation
bin1000001001000010101100
311000102120000
420021002230
51021243223
6113424300
724066060
oct10110254
94012500
102134188
1112284a1
1286b090
13599544
143d7aa0
152c2543
hex2090ac

2134188 has 60 divisors (see below), whose sum is σ = 6382992. Its totient is φ = 609120.

The previous prime is 2134183. The next prime is 2134201. The reversal of 2134188 is 8814312.

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

It is not an unprimeable number, because it can be changed into a prime (2134183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1798 + ... + 2738.

22134188 is an apocalyptic number.

2134188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191496).

2134188 is an abundant number, since it is smaller than the sum of its proper divisors (4248804).

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

2134188 is a wasteful number, since it uses less digits than its factorization.

2134188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2134188 is about 1460.8860325159. The cubic root of 2134188 is about 128.7491067271.

The spelling of 2134188 in words is "two million, one hundred thirty-four thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 941 1134 1882 2268 2823 3764 5646 6587 8469 11292 13174 16938 19761 25407 26348 33876 39522 50814 59283 76221 79044 101628 118566 152442 177849 237132 304884 355698 533547 711396 1067094 2134188