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1020365424 = 24341371853
BaseRepresentation
bin111100110100011…
…000101001110000
32122002222221020000
4330310120221300
54042203143144
6245125550000
734166651211
oct7464305160
92562887200
101020365424
11483a73711
12245875300
1313351aa30
149972d408
155e8a5769
hex3cd18a70

1020365424 has 200 divisors, whose sum is σ = 3228980832. Its totient is φ = 309173760.

The previous prime is 1020365413. The next prime is 1020365497. The reversal of 1020365424 is 4245630201.

1020365424 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 654 + 2 + 4 = 666.

It is a super-2 number, since 2×10203654242 = 2082291196989399552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1195782 + ... + 1196634.

Almost surely, 21020365424 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 1020365424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614490416).

1020365424 is an abundant number, since it is smaller than the sum of its proper divisors (2208615408).

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

1020365424 is a wasteful number, since it uses less digits than its factorization.

1020365424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1020365424 is about 31943.1592676742. The cubic root of 1020365424 is about 1006.7429056967.

Adding to 1020365424 its reverse (4245630201), we get a palindrome (5265995625).

The spelling of 1020365424 in words is "one billion, twenty million, three hundred sixty-five thousand, four hundred twenty-four".