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1030947840 = 210325131721
BaseRepresentation
bin111101011100110…
…000010000000000
32122211220120120100
4331130300100000
54102410312330
6250144442400
734355624556
oct7534602000
92584816510
101030947840
11489a4140a
12249319400
13135784710
149acc5bd6
1560796060
hex3d730400

1030947840 has 264 divisors, whose sum is σ = 3849227928. Its totient is φ = 253624320.

The previous prime is 1030947823. The next prime is 1030947851. The reversal of 1030947840 is 487490301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 63489024 + 967458816 = 7968^2 + 31104^2 .

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 = 1030947795 and 1030947804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598180 + ... + 599900.

Almost surely, 21030947840 is an apocalyptic number.

1030947840 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 1030947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924613964).

1030947840 is an abundant number, since it is smaller than the sum of its proper divisors (2818280088).

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

1030947840 is a wasteful number, since it uses less digits than its factorization.

1030947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1030947840 is about 32108.3764771749. The cubic root of 1030947840 is about 1010.2113206815.

The spelling of 1030947840 in words is "one billion, thirty million, nine hundred forty-seven thousand, eight hundred forty".