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202020820 = 225193199263
BaseRepresentation
bin11000000101010…
…01011111010100
3112002010201110121
430002221133110
5403204131240
632014001324
75002101661
oct1402513724
9462121417
10202020820
11a4043261
12577a6244
1332b14061
141cb8aa68
1512b0804a
hexc0a97d4

202020820 has 48 divisors (see below), whose sum is σ = 430214400. Its totient is φ = 79681536.

The previous prime is 202020811. The next prime is 202020821. The reversal of 202020820 is 28020202.

It is a junction number, because it is equal to n+sod(n) for n = 202020794 and 202020803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202020821) 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 15 ways as a sum of consecutive naturals, for example, 768009 + ... + 768271.

It is an arithmetic number, because the mean of its divisors is an integer number (8962800).

Almost surely, 2202020820 is an apocalyptic number.

202020820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020820 is an abundant number, since it is smaller than the sum of its proper divisors (228193580).

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

202020820 is a wasteful number, since it uses less digits than its factorization.

202020820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 202020820 is about 14213.4028297238. The cubic root of 202020820 is about 586.7665886677.

The spelling of 202020820 in words is "two hundred two million, twenty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 193 199 263 386 398 526 772 796 965 995 1052 1315 1930 1990 2630 3860 3980 5260 38407 50759 52337 76814 101518 104674 153628 192035 203036 209348 253795 261685 384070 507590 523370 768140 1015180 1046740 10101041 20202082 40404164 50505205 101010410 202020820