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1020530160 = 243251328387
BaseRepresentation
bin111100110101000…
…000110111110000
32122010022022012100
4330311000313300
54042223431120
6245133300400
734201235406
oct7465006760
92563268170
101020530160
11484076461
12245934700
13133577a00
1499773476
155e8d9490
hex3cd40df0

1020530160 has 180 divisors, whose sum is σ = 3711639672. Its totient is φ = 251177472.

The previous prime is 1020530149. The next prime is 1020530167. The reversal of 1020530160 is 610350201.

1020530160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (1020530167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117487 + ... + 125873.

Almost surely, 21020530160 is an apocalyptic number.

1020530160 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 1020530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855819836).

1020530160 is an abundant number, since it is smaller than the sum of its proper divisors (2691109512).

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

1020530160 is a wasteful number, since it uses less digits than its factorization.

1020530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1020530160 is about 31945.7377438681. The cubic root of 1020530160 is about 1006.7970816716.

Adding to 1020530160 its reverse (610350201), we get a palindrome (1630880361).

The spelling of 1020530160 in words is "one billion, twenty million, five hundred thirty thousand, one hundred sixty".