Search a number
-
+
202041020 = 225149151449
BaseRepresentation
bin11000000101011…
…10011010111100
3112002011202011202
430002232122330
5403210303040
632014235032
75002214606
oct1402563274
9462152152
10202041020
11a4057455
12577b5a78
1332b202cc
141cb94176
1512b0e015
hexc0ae6bc

202041020 has 48 divisors (see below), whose sum is σ = 430920000. Its totient is φ = 79564800.

The previous prime is 202041019. The next prime is 202041023. The reversal of 202041020 is 20140202.

202041020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202040992 and 202041010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202041023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449756 + ... + 450204.

It is an arithmetic number, because the mean of its divisors is an integer number (8977500).

Almost surely, 2202041020 is an apocalyptic number.

202041020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202041020 is an abundant number, since it is smaller than the sum of its proper divisors (228878980).

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

202041020 is a wasteful number, since it uses less digits than its factorization.

202041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 202041020 is about 14214.1134088623. The cubic root of 202041020 is about 586.7861448865.

Adding to 202041020 its reverse (20140202), we get a palindrome (222181222).

The spelling of 202041020 in words is "two hundred two million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 149 151 298 302 449 596 604 745 755 898 1490 1510 1796 2245 2980 3020 4490 8980 22499 44998 66901 67799 89996 112495 133802 135598 224990 267604 271196 334505 338995 449980 669010 677990 1338020 1355980 10102051 20204102 40408204 50510255 101020510 202041020