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2054325 = 352721343
BaseRepresentation
bin111110101100010110101
310212101000010
413311202311
51011214300
6112010433
723314200
oct7654265
93771003
102054325
111183499
12830a19
1356c0a0
143b6937
152a8a50
hex1f58b5

2054325 has 72 divisors (see below), whose sum is σ = 4353888. Its totient is φ = 846720.

The previous prime is 2054317. The next prime is 2054329. The reversal of 2054325 is 5234502.

2054325 = T6 + T7 + ... + T230.

It is not a de Polignac number, because 2054325 - 23 = 2054317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 217 + 0 + 54 + 48 + 313 + 218 + 54 .

2054325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054329) 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 71 ways as a sum of consecutive naturals, for example, 47754 + ... + 47796.

22054325 is an apocalyptic number.

2054325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2054325 is an abundant number, since it is smaller than the sum of its proper divisors (2299563).

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

2054325 is a wasteful number, since it uses less digits than its factorization.

2054325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2054325 is about 1433.2916660610. The cubic root of 2054325 is about 127.1226830280.

Adding to 2054325 its reverse (5234502), we get a palindrome (7288827).

It can be divided in two parts, 20 and 54325, that added together give a palindrome (54345).

The spelling of 2054325 in words is "two million, fifty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 43 49 65 75 91 105 129 147 175 195 215 245 273 301 325 455 525 559 637 645 735 903 975 1075 1225 1365 1505 1677 1911 2107 2275 2795 3185 3225 3675 3913 4515 6321 6825 7525 8385 9555 10535 11739 13975 15925 19565 22575 27391 31605 41925 47775 52675 58695 82173 97825 136955 158025 293475 410865 684775 2054325