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1022413728 = 253717312887
BaseRepresentation
bin111100111100001…
…100101110100000
32122020211222222010
4330330030232200
54043214214403
6245241512520
734223242020
oct7474145640
92566758863
101022413728
11485142626
122464a2740
13133a8714b
1499b03a80
155eb5c603
hex3cf0cba0

1022413728 has 192 divisors, whose sum is σ = 3353591808. Its totient is φ = 265973760.

The previous prime is 1022413727. The next prime is 1022413729. The reversal of 1022413728 is 8273142201.

1022413728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1022413727) and next prime (1022413729).

It is a junction number, because it is equal to n+sod(n) for n = 1022413695 and 1022413704.

It is not an unprimeable number, because it can be changed into a prime (1022413727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352701 + ... + 355587.

It is an arithmetic number, because the mean of its divisors is an integer number (17466624).

Almost surely, 21022413728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676795904).

1022413728 is an abundant number, since it is smaller than the sum of its proper divisors (2331178080).

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

1022413728 is a wasteful number, since it uses less digits than its factorization.

1022413728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1022413728 is about 31975.2048937923. The cubic root of 1022413728 is about 1007.4161080494.

Adding to 1022413728 its reverse (8273142201), we get a palindrome (9295555929).

The spelling of 1022413728 in words is "one billion, twenty-two million, four hundred thirteen thousand, seven hundred twenty-eight".