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1040531328 = 27321914729
BaseRepresentation
bin111110000001010…
…011111110000000
32200111221110122100
4332001103332000
54112334000303
6251130110400
734533241014
oct7601237600
92614843570
101040531328
11494397651
1225057b400
1313775b815
149c29c544
156153a8a3
hex3e053f80

1040531328 has 96 divisors (see below), whose sum is σ = 3010550400. Its totient is φ = 344954880.

The previous prime is 1040531321. The next prime is 1040531363. The reversal of 1040531328 is 8231350401.

It is a happy number.

1040531328 is a `hidden beast` number, since 104 + 0 + 531 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040531321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217668 + ... + 222396.

It is an arithmetic number, because the mean of its divisors is an integer number (31359900).

Almost surely, 21040531328 is an apocalyptic number.

1040531328 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 1040531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505275200).

1040531328 is an abundant number, since it is smaller than the sum of its proper divisors (1970019072).

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

1040531328 is a wasteful number, since it uses less digits than its factorization.

1040531328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1040531328 is about 32257.2678322266. The cubic root of 1040531328 is about 1013.3319128943.

Adding to 1040531328 its reverse (8231350401), we get a palindrome (9271881729).

The spelling of 1040531328 in words is "one billion, forty million, five hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1719 2292 3056 3438 4584 4729 6112 6876 9168 9458 12224 13752 14187 18336 18916 24448 27504 28374 36672 37832 42561 55008 56748 73344 75664 85122 110016 113496 151328 170244 220032 226992 302656 340488 453984 605312 680976 903239 907968 1361952 1806478 1815936 2709717 2723904 3612956 5419434 5447808 7225912 8129151 10838868 14451824 16258302 21677736 28903648 32516604 43355472 57807296 65033208 86710944 115614592 130066416 173421888 260132832 346843776 520265664 1040531328