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213630540 = 22356158369
BaseRepresentation
bin11001011101110…
…11111001001100
3112212222120000020
430232323321030
5414142134130
633110502140
75202554364
oct1456737114
9485876006
10213630540
11aa652872
125b664950
133534a506
142052d9a4
1513b4ce10
hexcbbbe4c

213630540 has 48 divisors (see below), whose sum is σ = 607981920. Its totient is φ = 56033280.

The previous prime is 213630533. The next prime is 213630577. The reversal of 213630540 is 45036312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213630540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25525 + ... + 32844.

It is an arithmetic number, because the mean of its divisors is an integer number (12666290).

Almost surely, 2213630540 is an apocalyptic number.

213630540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213630540 is an abundant number, since it is smaller than the sum of its proper divisors (394351380).

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

213630540 is a wasteful number, since it uses less digits than its factorization.

213630540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58442 (or 58440 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213630540 is about 14616.1055004403. The cubic root of 213630540 is about 597.7979839844.

Adding to 213630540 its reverse (45036312), we get a palindrome (258666852).

The spelling of 213630540 in words is "two hundred thirteen million, six hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 58369 116738 175107 233476 291845 350214 583690 700428 875535 1167380 1751070 3502140 3560509 7121018 10681527 14242036 17802545 21363054 35605090 42726108 53407635 71210180 106815270 213630540