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1020204720 = 24345313503
BaseRepresentation
bin111100110011110…
…001011010110000
32122002200202210000
4330303301122300
54042133022340
6245122310000
734165411533
oct7463613260
92562622700
101020204720
114839739a7
122457b8300
13133492842
14996caa1a
155e872d30
hex3ccf16b0

1020204720 has 200 divisors, whose sum is σ = 3561709536. Its totient is φ = 270646272.

The previous prime is 1020204673. The next prime is 1020204727. The reversal of 1020204720 is 274020201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020204693 and 1020204702.

It is not an unprimeable number, because it can be changed into a prime (1020204727) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2027989 + ... + 2028491.

Almost surely, 21020204720 is an apocalyptic number.

1020204720 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 1020204720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780854768).

1020204720 is an abundant number, since it is smaller than the sum of its proper divisors (2541504816).

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

1020204720 is a wasteful number, since it uses less digits than its factorization.

1020204720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1020204720 is about 31940.6437004641. The cubic root of 1020204720 is about 1006.6900500881.

Adding to 1020204720 its reverse (274020201), we get a palindrome (1294224921).

The spelling of 1020204720 in words is "one billion, twenty million, two hundred four thousand, seven hundred twenty".