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2131074 = 2321147229
BaseRepresentation
bin1000001000010010000010
311000021021200
420020102002
51021143244
6113402030
724054021
oct10102202
94007250
102131074
111226120
12869316
13597cba
143d68b8
152c1669
hex208482

2131074 has 48 divisors (see below), whose sum is σ = 5166720. Its totient is φ = 629280.

The previous prime is 2131049. The next prime is 2131081. The reversal of 2131074 is 4701312.

2131074 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 221 + 1 + 36 + 1 + 0 + 75 + 47 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9192 + ... + 9420.

It is an arithmetic number, because the mean of its divisors is an integer number (107640).

22131074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583360).

2131074 is an abundant number, since it is smaller than the sum of its proper divisors (3035646).

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

2131074 is a wasteful number, since it uses less digits than its factorization.

2131074 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2131074 is about 1459.8198518995. The cubic root of 2131074 is about 128.6864568460.

Adding to 2131074 its reverse (4701312), we get a palindrome (6832386).

The spelling of 2131074 in words is "two million, one hundred thirty-one thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 229 282 423 458 517 687 846 1034 1374 1551 2061 2519 3102 4122 4653 5038 7557 9306 10763 15114 21526 22671 32289 45342 64578 96867 118393 193734 236786 355179 710358 1065537 2131074