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1023989040 = 24345198317
BaseRepresentation
bin111101000010001…
…101010100110000
32122100211000220000
4331002031110300
54044120122130
6245335350000
734242522534
oct7502152460
92570730800
101023989040
11486019138
12246b22300
131341b9199
1499dd3bc4
155ed6e260
hex3d08d530

1023989040 has 200 divisors, whose sum is σ = 3744098160. Its totient is φ = 258660864.

The previous prime is 1023989039. The next prime is 1023989069. The reversal of 1023989040 is 409893201.

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 = 1023988986 and 1023989004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118962 + ... + 127278.

Almost surely, 21023989040 is an apocalyptic number.

1023989040 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 1023989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872049080).

1023989040 is an abundant number, since it is smaller than the sum of its proper divisors (2720109120).

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

1023989040 is a wasteful number, since it uses less digits than its factorization.

1023989040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1023989040 is about 31999.8287495418. The cubic root of 1023989040 is about 1007.9332438784.

The spelling of 1023989040 in words is "one billion, twenty-three million, nine hundred eighty-nine thousand, forty".