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2166534 = 23353757
BaseRepresentation
bin1000010000111100000110
311002001221000
420100330012
51023312114
6114234130
724262266
oct10207406
94061830
102166534
11124a827
12885946
135ab196
144057a6
152cbe09
hex210f06

2166534 has 32 divisors (see below), whose sum is σ = 4911840. Its totient is φ = 707616.

The previous prime is 2166533. The next prime is 2166547. The reversal of 2166534 is 4356612.

2166534 is a `hidden beast` number, since 2 + 1 + 6 + 653 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2166498 and 2166507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484 + ... + 3240.

It is an arithmetic number, because the mean of its divisors is an integer number (153495).

22166534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455920).

2166534 is an abundant number, since it is smaller than the sum of its proper divisors (2745306).

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

2166534 is a wasteful number, since it uses less digits than its factorization.

2166534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 815 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2166534 is about 1471.9150790722. The cubic root of 2166534 is about 129.3962934916.

It can be divided in two parts, 216 and 6534, that multiplied together give a square (1411344 = 11882).

The spelling of 2166534 in words is "two million, one hundred sixty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 757 954 1431 1514 2271 2862 4542 6813 13626 20439 40121 40878 80242 120363 240726 361089 722178 1083267 2166534