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2068272 = 243253271
BaseRepresentation
bin111111000111100110000
310220002010200
413320330300
51012141042
6112155200
723402643
oct7707460
93802120
102068272
111192a18
12838b00
1357553b
143bba5a
152acc4c
hex1f8f30

2068272 has 60 divisors (see below), whose sum is σ = 5919264. Its totient is φ = 673920.

The previous prime is 2068267. The next prime is 2068273. The reversal of 2068272 is 2728602.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2068273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7497 + ... + 7767.

22068272 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 2068272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959632).

2068272 is an abundant number, since it is smaller than the sum of its proper divisors (3850992).

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

2068272 is a wasteful number, since it uses less digits than its factorization.

2068272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2068272 is about 1438.1488101028. The cubic root of 2068272 is about 127.4097169390.

The spelling of 2068272 in words is "two million, sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 271 318 424 477 542 636 813 848 954 1084 1272 1626 1908 2168 2439 2544 3252 3816 4336 4878 6504 7632 9756 13008 14363 19512 28726 39024 43089 57452 86178 114904 129267 172356 229808 258534 344712 517068 689424 1034136 2068272