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1020238752 = 2531341127157
BaseRepresentation
bin111100110011111…
…001101110100000
32122002202111110110
4330303321232200
54042140120002
6245123131320
734165613001
oct7463715640
92562674413
101020238752
11483997525
12245813b40
131334a5190
14996d91a8
155e87ce6c
hex3ccf9ba0

1020238752 has 192 divisors, whose sum is σ = 2996711424. Its totient is φ = 301916160.

The previous prime is 1020238741. The next prime is 1020238771. The reversal of 1020238752 is 2578320201.

It is a super-2 number, since 2×10202387522 = 2081774222165035008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6498258 + ... + 6498414.

It is an arithmetic number, because the mean of its divisors is an integer number (15607872).

Almost surely, 21020238752 is an apocalyptic number.

1020238752 is a gapful number since it is divisible by the number (12) 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 1020238752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498355712).

1020238752 is an abundant number, since it is smaller than the sum of its proper divisors (1976472672).

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

1020238752 is a wasteful number, since it uses less digits than its factorization.

1020238752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1020238752 is about 31941.1764341891. The cubic root of 1020238752 is about 1006.7012436895.

Adding to 1020238752 its reverse (2578320201), we get a palindrome (3598558953).

The spelling of 1020238752 in words is "one billion, twenty million, two hundred thirty-eight thousand, seven hundred fifty-two".