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1039998960 = 2433571113237
BaseRepresentation
bin111101111111010…
…001111111110000
32200110221102101000
4331333101333300
54112214431320
6251110442000
734525562640
oct7577217760
92613842330
101039998960
11494063680
12250363300
13137603400
149c1a0520
1561482c90
hex3dfd1ff0

1039998960 has 960 divisors, whose sum is σ = 4966824960. Its totient is φ = 194088960.

The previous prime is 1039998941. The next prime is 1039998961. The reversal of 1039998960 is 698999301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1039998897 and 1039998906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1039998961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28108062 + ... + 28108098.

It is an arithmetic number, because the mean of its divisors is an integer number (5173776).

Almost surely, 21039998960 is an apocalyptic number.

1039998960 is a gapful number since it is divisible by the number (10) 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 1039998960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483412480).

1039998960 is an abundant number, since it is smaller than the sum of its proper divisors (3926826000).

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

1039998960 is a wasteful number, since it uses less digits than its factorization.

1039998960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 1039998960 is about 32249.0148686747. The cubic root of 1039998960 is about 1013.1590661003.

It can be divided in two parts, 1039 and 998960, that added together give a palindrome (999999).

The spelling of 1039998960 in words is "one billion, thirty-nine million, nine hundred ninety-eight thousand, nine hundred sixty".