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1032022420 = 22511132329541
BaseRepresentation
bin111101100000110…
…110100110010100
32122220221011121121
4331200312212110
54103144204140
6250223453324
734401021502
oct7540664624
92586834547
101032022420
1148a6057a0
12249757244
13135a6c870
149b0c5672
156090964a
hex3d836994

1032022420 has 192 divisors, whose sum is σ = 2753533440. Its totient is φ = 319334400.

The previous prime is 1032022363. The next prime is 1032022423. The reversal of 1032022420 is 242202301.

1032022420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1032022394 and 1032022403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032022423) 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, 1907350 + ... + 1907890.

It is an arithmetic number, because the mean of its divisors is an integer number (14341320).

Almost surely, 21032022420 is an apocalyptic number.

1032022420 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 1032022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376766720).

1032022420 is an abundant number, since it is smaller than the sum of its proper divisors (1721511020).

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

1032022420 is a wasteful number, since it uses less digits than its factorization.

1032022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1032022420 is about 32125.1057585808. The cubic root of 1032022420 is about 1010.5621874250.

Adding to 1032022420 its reverse (242202301), we get a palindrome (1274224721).

The spelling of 1032022420 in words is "one billion, thirty-two million, twenty-two thousand, four hundred twenty".