Search a number
-
+
2077088 = 25134993
BaseRepresentation
bin111111011000110100000
310220112020012
413323012200
51012431323
6112304052
723440436
oct7730640
93815205
102077088
111199602
12842028
13579560
143c0d56
152b0678
hex1fb1a0

2077088 has 24 divisors (see below), whose sum is σ = 4404708. Its totient is φ = 958464.

The previous prime is 2077081. The next prime is 2077091. The reversal of 2077088 is 8807702.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 150544 = 1388^2 + 388^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2077081) 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 3 ways as a sum of consecutive naturals, for example, 2081 + ... + 2912.

22077088 is an apocalyptic number.

It is an amenable number.

2077088 is an abundant number, since it is smaller than the sum of its proper divisors (2327620).

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

2077088 is a wasteful number, since it uses less digits than its factorization.

2077088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 2077088 is about 1441.2106022369. The cubic root of 2077088 is about 127.5904881161.

The spelling of 2077088 in words is "two million, seventy-seven thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 4993 9986 19972 39944 64909 79888 129818 159776 259636 519272 1038544 2077088