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2050164 = 223341463
BaseRepresentation
bin111110100100001110100
310212011022000
413310201310
51011101124
6111535300
723266104
oct7644164
93764260
102050164
111180356
1282a530
1356a21c
143b5204
152a76c9
hex1f4874

2050164 has 48 divisors (see below), whose sum is σ = 5456640. Its totient is φ = 665280.

The previous prime is 2050163. The next prime is 2050171. The reversal of 2050164 is 4610502.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4197 + ... + 4659.

It is an arithmetic number, because the mean of its divisors is an integer number (113680).

22050164 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 2050164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728320).

2050164 is an abundant number, since it is smaller than the sum of its proper divisors (3406476).

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

2050164 is a wasteful number, since it uses less digits than its factorization.

2050164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 509 counting only the distinct ones).

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

The square root of 2050164 is about 1431.8393764665. The cubic root of 2050164 is about 127.0367967445.

Adding to 2050164 its reverse (4610502), we get a palindrome (6660666).

The spelling of 2050164 in words is "two million, fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 463 492 738 926 1107 1389 1476 1852 2214 2778 4167 4428 5556 8334 12501 16668 18983 25002 37966 50004 56949 75932 113898 170847 227796 341694 512541 683388 1025082 2050164