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404132020 = 22575726693
BaseRepresentation
bin11000000101101…
…001000010110100
31001011110000220121
4120011221002310
51311424211040
6104033541324
713005031315
oct3005510264
91034400817
10404132020
11198138406
12b3414844
136595a296
143b95c60c
152572cc4a
hex181690b4

404132020 has 24 divisors (see below), whose sum is σ = 849830184. Its totient is φ = 161433216.

The previous prime is 404131969. The next prime is 404132051. The reversal of 404132020 is 20231404.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 404090404 = 204^2 + 20102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404131985 and 404132003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794 + ... + 28486.

It is an arithmetic number, because the mean of its divisors is an integer number (35409591).

Almost surely, 2404132020 is an apocalyptic number.

It is an amenable number.

404132020 is an abundant number, since it is smaller than the sum of its proper divisors (445698164).

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

404132020 is a wasteful number, since it uses less digits than its factorization.

404132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27459 (or 27457 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 404132020 is about 20103.0350942339. The cubic root of 404132020 is about 739.3346954319.

Adding to 404132020 its reverse (20231404), we get a palindrome (424363424).

The spelling of 404132020 in words is "four hundred four million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 757 1514 3028 3785 7570 15140 26693 53386 106772 133465 266930 533860 20206601 40413202 80826404 101033005 202066010 404132020