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1020132160 = 2653187913
BaseRepresentation
bin111100110011011…
…111101101000000
32122002120002020121
4330303133231000
54042123212120
6245120550024
734164660145
oct7463375500
92562502217
101020132160
11483924433
12245782314
131334687c8
14996ac3cc
155e85b5aa
hex3ccdfb40

1020132160 has 28 divisors (see below), whose sum is σ = 2429190468. Its totient is φ = 408052736.

The previous prime is 1020132131. The next prime is 1020132161. The reversal of 1020132160 is 612310201.

It can be written as a sum of positive squares in 2 ways, for example, as 295014976 + 725117184 = 17176^2 + 26928^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1593637 + ... + 1594276.

Almost surely, 21020132160 is an apocalyptic number.

1020132160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020132160 is an abundant number, since it is smaller than the sum of its proper divisors (1409058308).

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

1020132160 is an equidigital number, since it uses as much as digits as its factorization.

1020132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187930 (or 3187920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1020132160 is about 31939.5078233839. The cubic root of 1020132160 is about 1006.6661832568. Note that the first 3 decimals are identical.

Adding to 1020132160 its reverse (612310201), we get a palindrome (1632442361).

The spelling of 1020132160 in words is "one billion, twenty million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3187913 6375826 12751652 15939565 25503304 31879130 51006608 63758260 102013216 127516520 204026432 255033040 510066080 1020132160