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203142420 = 223251386813
BaseRepresentation
bin11000001101110…
…11010100010100
3112011020201000100
430012323110110
5404001024140
632054014100
75014452645
oct1406732424
9464221010
10203142420
11a47399a8
1258047330
1333117720
141cd9d6cc
1512c7a530
hexc1bb514

203142420 has 72 divisors (see below), whose sum is σ = 663606216. Its totient is φ = 50003712.

The previous prime is 203142403. The next prime is 203142427. The reversal of 203142420 is 24241302.

203142420 is a `hidden beast` number, since 203 + 1 + 42 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 191933316 = 3348^2 + 13854^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203142393 and 203142402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203142427) 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 23 ways as a sum of consecutive naturals, for example, 41067 + ... + 45746.

It is an arithmetic number, because the mean of its divisors is an integer number (9216753).

Almost surely, 2203142420 is an apocalyptic number.

203142420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203142420 is an abundant number, since it is smaller than the sum of its proper divisors (460463796).

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

203142420 is a wasteful number, since it uses less digits than its factorization.

203142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86841 (or 86836 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203142420 is about 14252.8039346649. The cubic root of 203142420 is about 587.8504756551.

Adding to 203142420 its reverse (24241302), we get a palindrome (227383722).

The spelling of 203142420 in words is "two hundred three million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 86813 173626 260439 347252 434065 520878 781317 868130 1041756 1128569 1302195 1562634 1736260 2257138 2604390 3125268 3385707 3906585 4514276 5208780 5642845 6771414 7813170 10157121 11285690 13542828 15626340 16928535 20314242 22571380 33857070 40628484 50785605 67714140 101571210 203142420