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1030685040 = 243357116197
BaseRepresentation
bin111101011011110…
…000000101110000
32122211102020002000
4331123300011300
54102323410130
6250135054000
734353451440
oct7533600560
92584366060
101030685040
11489881a20
12249211300
131356c1c08
149ac58120
1560743260
hex3d6f0170

1030685040 has 320 divisors, whose sum is σ = 4426859520. Its totient is φ = 214133760.

The previous prime is 1030685021. The next prime is 1030685063. The reversal of 1030685040 is 405860301.

1030685040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1030684995 and 1030685013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163222 + ... + 169418.

It is an arithmetic number, because the mean of its divisors is an integer number (13833936).

Almost surely, 21030685040 is an apocalyptic number.

1030685040 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 1030685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213429760).

1030685040 is an abundant number, since it is smaller than the sum of its proper divisors (3396174480).

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

1030685040 is a wasteful number, since it uses less digits than its factorization.

1030685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6237 (or 6225 counting only the distinct ones).

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

The square root of 1030685040 is about 32104.2838263058. The cubic root of 1030685040 is about 1010.1254753761.

The spelling of 1030685040 in words is "one billion, thirty million, six hundred eighty-five thousand, forty".