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2154006 = 233113353
BaseRepresentation
bin1000001101111000010110
311001102202000
420031320112
51022412011
6114100130
724210621
oct10157026
94042660
102154006
111241378
1287a646
135a557a
14400db8
152c8356
hex20de16

2154006 has 32 divisors (see below), whose sum is σ = 4842720. Its totient is φ = 709632.

The previous prime is 2153993. The next prime is 2154007. The reversal of 2154006 is 6004512.

It is a happy number.

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

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2154006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154007) 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, 5926 + ... + 6278.

It is an arithmetic number, because the mean of its divisors is an integer number (151335).

22154006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421360).

2154006 is an abundant number, since it is smaller than the sum of its proper divisors (2688714).

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

2154006 is a wasteful number, since it uses less digits than its factorization.

2154006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2154006 is about 1467.6532287976. The cubic root of 2154006 is about 129.1463995025.

Adding to 2154006 its reverse (6004512), we get a palindrome (8158518).

The spelling of 2154006 in words is "two million, one hundred fifty-four thousand, six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 353 678 706 1017 1059 2034 2118 3051 3177 6102 6354 9531 19062 39889 79778 119667 239334 359001 718002 1077003 2154006