Search a number
-
+
2045580 = 2235103331
BaseRepresentation
bin111110011011010001100
310211221000020
413303122030
51010424310
6111502140
723246535
oct7633214
93757006
102045580
111177969
12827950
13568104
143b368c
152a6170
hex1f368c

2045580 has 48 divisors (see below), whose sum is σ = 5800704. Its totient is φ = 538560.

The previous prime is 2045569. The next prime is 2045587. The reversal of 2045580 is 855402.

It is a self number, because there is not a number n which added to its sum of digits gives 2045580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6015 + ... + 6345.

It is an arithmetic number, because the mean of its divisors is an integer number (120848).

22045580 is an apocalyptic number.

2045580 is a gapful number since it is divisible by the number (20) 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 2045580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900352).

2045580 is an abundant number, since it is smaller than the sum of its proper divisors (3755124).

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

2045580 is a wasteful number, since it uses less digits than its factorization.

2045580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2045580 is about 1430.2377424750. The cubic root of 2045580 is about 126.9420447742.

The spelling of 2045580 in words is "two million, forty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 331 412 515 618 662 993 1030 1236 1324 1545 1655 1986 2060 3090 3310 3972 4965 6180 6620 9930 19860 34093 68186 102279 136372 170465 204558 340930 409116 511395 681860 1022790 2045580