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2021136 = 243134179
BaseRepresentation
bin111101101011100010000
310210200110220
413231130100
51004134021
6111153040
723115345
oct7553420
93720426
102021136
111160567
12815780
13559c50
143a87cc
1529dcc6
hex1ed710

2021136 has 80 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 599040.

The previous prime is 2021119. The next prime is 2021137. The reversal of 2021136 is 6311202.

It is not an unprimeable number, because it can be changed into a prime (2021137) 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, 25545 + ... + 25623.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

22021136 is an apocalyptic number.

2021136 is a gapful number since it is divisible by the number (26) 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 2021136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

2021136 is an abundant number, since it is smaller than the sum of its proper divisors (3811824).

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

2021136 is a wasteful number, since it uses less digits than its factorization.

2021136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2021136 is about 1421.6666275889. Note that the first 4 decimals coincide. The cubic root of 2021136 is about 126.4343788343.

Adding to 2021136 its reverse (6311202), we get a palindrome (8332338).

The spelling of 2021136 in words is "two million, twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 79 82 104 123 156 158 164 208 237 246 312 316 328 474 492 533 624 632 656 948 984 1027 1066 1264 1599 1896 1968 2054 2132 3081 3198 3239 3792 4108 4264 6162 6396 6478 8216 8528 9717 12324 12792 12956 16432 19434 24648 25584 25912 38868 42107 49296 51824 77736 84214 126321 155472 168428 252642 336856 505284 673712 1010568 2021136