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1021073040 = 2434513172331
BaseRepresentation
bin111100110111000…
…101011010010000
32122011022212220000
4330313011122100
54042343314130
6245153050000
734205656221
oct7467053220
92564285800
101021073040
11484407319
12245b56900
13133707b40
1499875248
155e995260
hex3cdc5690

1021073040 has 800 divisors, whose sum is σ = 4355721216. Its totient is φ = 218972160.

The previous prime is 1021073029. The next prime is 1021073047. The reversal of 1021073040 is 403701201.

1021073040 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021073047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32937825 + ... + 32937855.

Almost surely, 21021073040 is an apocalyptic number.

1021073040 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 1021073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177860608).

1021073040 is an abundant number, since it is smaller than the sum of its proper divisors (3334648176).

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

1021073040 is a wasteful number, since it uses less digits than its factorization.

1021073040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1021073040 is about 31954.2335223363. The cubic root of 1021073040 is about 1006.9755748811.

Adding to 1021073040 its reverse (403701201), we get a palindrome (1424774241).

The spelling of 1021073040 in words is "one billion, twenty-one million, seventy-three thousand, forty".