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213503420 = 22513821167
BaseRepresentation
bin11001011100111…
…00110110111100
3112212202002122002
430232130312330
5414124102140
633104041432
75201514644
oct1456346674
9485662562
10213503420
11aa576309
125b603278
13353046b0
14204d9524
1513b25415
hexcb9cdbc

213503420 has 24 divisors (see below), whose sum is σ = 482846784. Its totient is φ = 78831936.

The previous prime is 213503393. The next prime is 213503453. The reversal of 213503420 is 24305312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213503392 and 213503401.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 410324 + ... + 410843.

It is an arithmetic number, because the mean of its divisors is an integer number (20118616).

Almost surely, 2213503420 is an apocalyptic number.

213503420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213503420 is an abundant number, since it is smaller than the sum of its proper divisors (269343364).

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

213503420 is a wasteful number, since it uses less digits than its factorization.

213503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821189 (or 821187 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213503420 is about 14611.7562257245. The cubic root of 213503420 is about 597.6793880233.

Adding to 213503420 its reverse (24305312), we get a palindrome (237808732).

The spelling of 213503420 in words is "two hundred thirteen million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 821167 1642334 3284668 4105835 8211670 10675171 16423340 21350342 42700684 53375855 106751710 213503420