Search a number
-
+
2054580 = 2235112283
BaseRepresentation
bin111110101100110110100
310212101100120
413311212310
51011221310
6112011540
723315013
oct7654664
93771316
102054580
111183700
12830bb0
1356c238
143b6a7a
152a8b70
hex1f59b4

2054580 has 72 divisors (see below), whose sum is σ = 6345696. Its totient is φ = 496320.

The previous prime is 2054579. The next prime is 2054581. The reversal of 2054580 is 854502.

It is an interprime number because it is at equal distance from previous prime (2054579) and next prime (2054581).

It is a self number, because there is not a number n which added to its sum of digits gives 2054580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7119 + ... + 7401.

22054580 is an apocalyptic number.

2054580 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 2054580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172848).

2054580 is an abundant number, since it is smaller than the sum of its proper divisors (4291116).

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

2054580 is a wasteful number, since it uses less digits than its factorization.

2054580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

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

The square root of 2054580 is about 1433.3806193750. The cubic root of 2054580 is about 127.1279426539.

The spelling of 2054580 in words is "two million, fifty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 283 330 363 484 566 605 660 726 849 1132 1210 1415 1452 1698 1815 2420 2830 3113 3396 3630 4245 5660 6226 7260 8490 9339 12452 15565 16980 18678 31130 34243 37356 46695 62260 68486 93390 102729 136972 171215 186780 205458 342430 410916 513645 684860 1027290 2054580