Search a number
-
+
213958590 = 23531230063
BaseRepresentation
bin11001100000010…
…11111110111110
3112220121020000020
430300023332332
5414233133330
633121513010
75205421656
oct1460137676
9486536006
10213958590
11aa85728a
125b7a2766
1335433921
14205b7366
1513bb5210
hexcc0bfbe

213958590 has 32 divisors (see below), whose sum is σ = 530067456. Its totient is φ = 55214880.

The previous prime is 213958567. The next prime is 213958597. The reversal of 213958590 is 95859312.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213958597) by changing a digit.

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, 114102 + ... + 115961.

It is an arithmetic number, because the mean of its divisors is an integer number (16564608).

Almost surely, 2213958590 is an apocalyptic number.

213958590 is an abundant number, since it is smaller than the sum of its proper divisors (316108866).

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

213958590 is a wasteful number, since it uses less digits than its factorization.

213958590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230104.

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 213958590 is about 14627.3234051893. The cubic root of 213958590 is about 598.1038193666.

The spelling of 213958590 in words is "two hundred thirteen million, nine hundred fifty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 230063 460126 690189 1150315 1380378 2300630 3450945 6901890 7131953 14263906 21395859 35659765 42791718 71319530 106979295 213958590