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1073232072 = 2333112341479
BaseRepresentation
bin111111111110000…
…011100011001000
32202210110211122000
4333332003203020
54144221411242
6254255031000
735411215323
oct7776034310
92683424560
101073232072
115008a2160
1225b50b460
1314146ab83
14a27717ba
1564349a4c
hex3ff838c8

1073232072 has 256 divisors, whose sum is σ = 3483648000. Its totient is φ = 302860800.

The previous prime is 1073232067. The next prime is 1073232073. The reversal of 1073232072 is 2702323701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1073232073) 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 63 ways as a sum of consecutive naturals, for example, 2240329 + ... + 2240807.

It is an arithmetic number, because the mean of its divisors is an integer number (13608000).

Almost surely, 21073232072 is an apocalyptic number.

1073232072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073232072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

1073232072 is an abundant number, since it is smaller than the sum of its proper divisors (2410415928).

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

1073232072 is a wasteful number, since it uses less digits than its factorization.

1073232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 1073232072 is about 32760.2208783763. The cubic root of 1073232072 is about 1023.8379285531.

Adding to 1073232072 its reverse (2702323701), we get a palindrome (3775555773).

The spelling of 1073232072 in words is "one billion, seventy-three million, two hundred thirty-two thousand, seventy-two".