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202132020 = 22358573931
BaseRepresentation
bin11000000110001…
…00101000110100
3112002100101000010
430003010220310
5403221211040
632020220220
75003044116
oct1403045064
9462311003
10202132020
11a4109862
125783a670
1332b5285c
141cbb93b6
1512b2ae80
hexc0c4a34

202132020 has 48 divisors (see below), whose sum is σ = 566774208. Its totient is φ = 53825280.

The previous prime is 202132003. The next prime is 202132033. The reversal of 202132020 is 20231202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202131987 and 202132005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49455 + ... + 53385.

It is an arithmetic number, because the mean of its divisors is an integer number (11807796).

Almost surely, 2202132020 is an apocalyptic number.

202132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202132020 is an abundant number, since it is smaller than the sum of its proper divisors (364642188).

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

202132020 is a wasteful number, since it uses less digits than its factorization.

202132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202132020 is about 14217.3140923312. The cubic root of 202132020 is about 586.8742285248.

Adding to 202132020 its reverse (20231202), we get a palindrome (222363222).

The spelling of 202132020 in words is "two hundred two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 857 1714 2571 3428 3931 4285 5142 7862 8570 10284 11793 12855 15724 17140 19655 23586 25710 39310 47172 51420 58965 78620 117930 235860 3368867 6737734 10106601 13475468 16844335 20213202 33688670 40426404 50533005 67377340 101066010 202132020