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1073784240 = 2432519531481
BaseRepresentation
bin100000000000000…
…1010010110110000
32202211111220001200
41000000022112300
54144342043430
6254314531200
735416005204
oct10000122660
92684456050
101073784240
11501139aa1
1225b736b00
131416022b9
14a2876b04
1564408460
hex4000a5b0

1073784240 has 240 divisors, whose sum is σ = 3870154080. Its totient is φ = 265973760.

The previous prime is 1073784211. The next prime is 1073784241. The reversal of 1073784240 is 424873701.

It is a happy number.

1073784240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1073784195 and 1073784204.

It is not an unprimeable number, because it can be changed into a prime (1073784241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724300 + ... + 725780.

It is an arithmetic number, because the mean of its divisors is an integer number (16125642).

Almost surely, 21073784240 is an apocalyptic number.

1073784240 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 1073784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935077040).

1073784240 is an abundant number, since it is smaller than the sum of its proper divisors (2796369840).

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

1073784240 is a wasteful number, since it uses less digits than its factorization.

1073784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1073784240 is about 32768.6472104053. The cubic root of 1073784240 is about 1024.0134835057.

The spelling of 1073784240 in words is "one billion, seventy-three million, seven hundred eighty-four thousand, two hundred forty".