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1075703328 = 25347101587
BaseRepresentation
bin100000000011101…
…1110111000100000
32202222010101120000
41000013132320200
54200340001303
6254424020000
735441220210
oct10007367040
92688111500
101075703328
1150222a917
12260301600
13141b2495b
14a2c16240
1564686da3
hex401dee20

1075703328 has 240 divisors, whose sum is σ = 3657576384. Its totient is φ = 303782400.

The previous prime is 1075703327. The next prime is 1075703333. The reversal of 1075703328 is 8233075701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1075703292 and 1075703301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075703327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1832251 + ... + 1832837.

Almost surely, 21075703328 is an apocalyptic number.

1075703328 is a gapful number since it is divisible by the number (18) 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 1075703328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828788192).

1075703328 is an abundant number, since it is smaller than the sum of its proper divisors (2581873056).

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

1075703328 is a wasteful number, since it uses less digits than its factorization.

1075703328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1075703328 is about 32797.9165191937. The cubic root of 1075703328 is about 1024.6231660176.

The spelling of 1075703328 in words is "one billion, seventy-five million, seven hundred three thousand, three hundred twenty-eight".