Search a number
-
+
2055312 = 243272039
BaseRepresentation
bin111110101110010010000
310212102100200
413311302100
51011232222
6112015200
723320110
oct7656220
93772320
102055312
111184206
12831500
1356c67c
143b7040
152a8eac
hex1f5c90

2055312 has 60 divisors (see below), whose sum is σ = 6576960. Its totient is φ = 586944.

The previous prime is 2055311. The next prime is 2055337. The reversal of 2055312 is 2135502.

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 (2055311) 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 11 ways as a sum of consecutive naturals, for example, 12 + ... + 2027.

It is an arithmetic number, because the mean of its divisors is an integer number (109616).

22055312 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 2055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288480).

2055312 is an abundant number, since it is smaller than the sum of its proper divisors (4521648).

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

2055312 is a wasteful number, since it uses less digits than its factorization.

2055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2055312 is about 1433.6359370496. The cubic root of 2055312 is about 127.1430384569.

The spelling of 2055312 in words is "two million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2039 4078 6117 8156 12234 14273 16312 18351 24468 28546 32624 36702 42819 48936 57092 73404 85638 97872 114184 128457 146808 171276 228368 256914 293616 342552 513828 685104 1027656 2055312