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1073741820 = 22352943113127
BaseRepresentation
bin111111111111111…
…111111111111100
32202211102201212120
4333333333333330
54144334214240
6254314002540
735415440424
oct7777777774
92684381776
101073741820
11501110138
1225b716450
131415b8bb8
14a2865484
15643eaad0
hex3ffffffc

1073741820 has 192 divisors, whose sum is σ = 3235921920. Its totient is φ = 265531392.

The previous prime is 1073741789. The next prime is 1073741827. The reversal of 1073741820 is 281473701.

It is a happy number.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073741827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8454597 + ... + 8454723.

It is an arithmetic number, because the mean of its divisors is an integer number (16853760).

Almost surely, 21073741820 is an apocalyptic number.

1073741820 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 1073741820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617960960).

1073741820 is an abundant number, since it is smaller than the sum of its proper divisors (2162180100).

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

1073741820 is a wasteful number, since it uses less digits than its factorization.

1073741820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1073741820 is about 32767.9999389648. Note that the first 4 decimals coincide. The cubic root of 1073741820 is about 1023.9999987284. Note that the first 5 decimals are identical.

The spelling of 1073741820 in words is "one billion, seventy-three million, seven hundred forty-one thousand, eight hundred twenty".