Search a number
-
+
2045088 = 2535263
BaseRepresentation
bin111110011010010100000
310211220100000
413303102200
51010420323
6111500000
723245233
oct7632240
93756300
102045088
111177561
12827600
13567b16
143b341a
152a5e43
hex1f34a0

2045088 has 72 divisors (see below), whose sum is σ = 6054048. Its totient is φ = 679104.

The previous prime is 2045077. The next prime is 2045089. The reversal of 2045088 is 8805402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2045089) 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, 7645 + ... + 7907.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

22045088 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 2045088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024).

2045088 is an abundant number, since it is smaller than the sum of its proper divisors (4008960).

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

2045088 is an equidigital number, since it uses as much as digits as its factorization.

2045088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2045088 is about 1430.0657327550. The cubic root of 2045088 is about 126.9318666513.

The spelling of 2045088 in words is "two million, forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 263 288 324 432 486 526 648 789 864 972 1052 1296 1578 1944 2104 2367 2592 3156 3888 4208 4734 6312 7101 7776 8416 9468 12624 14202 18936 21303 25248 28404 37872 42606 56808 63909 75744 85212 113616 127818 170424 227232 255636 340848 511272 681696 1022544 2045088