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2480205 = 357132379
BaseRepresentation
bin1001011101100001001101
311200000012110
421131201031
51113331310
6125054233
730036630
oct11354115
94600173
102480205
111444462
129b7379
1368aba0
14487c17
1533ed20
hex25d84d

2480205 has 64 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 988416.

The previous prime is 2480201. The next prime is 2480207. The reversal of 2480205 is 5020842.

2480205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2480205 - 22 = 2480201 is a prime.

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

2480205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480201) 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 63 ways as a sum of consecutive naturals, for example, 31356 + ... + 31434.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

22480205 is an apocalyptic number.

It is an amenable number.

2480205 is an abundant number, since it is smaller than the sum of its proper divisors (2680755).

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

2480205 is a wasteful number, since it uses less digits than its factorization.

2480205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2480205 is about 1574.8666610224. The cubic root of 2480205 is about 135.3617185614.

The spelling of 2480205 in words is "two million, four hundred eighty thousand, two hundred five".

Divisors: 1 3 5 7 13 15 21 23 35 39 65 69 79 91 105 115 161 195 237 273 299 345 395 455 483 553 805 897 1027 1185 1365 1495 1659 1817 2093 2415 2765 3081 4485 5135 5451 6279 7189 8295 9085 10465 12719 15405 21567 23621 27255 31395 35945 38157 63595 70863 107835 118105 165347 190785 354315 496041 826735 2480205