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1005020328 = 2331323140053
BaseRepresentation
bin111011111001110…
…110010010101000
32121001010022201010
4323321312102220
54024241122303
6243421023520
733622350264
oct7371662250
92531108633
101005020328
11476342714
122406b4ba0
131302a72b0
14976970a4
155d373c03
hex3be764a8

1005020328 has 64 divisors (see below), whose sum is σ = 2823488640. Its totient is φ = 295789824.

The previous prime is 1005020327. The next prime is 1005020363. The reversal of 1005020328 is 8230205001.

It is not an unprimeable number, because it can be changed into a prime (1005020327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 62851 + ... + 77202.

It is an arithmetic number, because the mean of its divisors is an integer number (44117010).

Almost surely, 21005020328 is an apocalyptic number.

It is an amenable number.

1005020328 is an abundant number, since it is smaller than the sum of its proper divisors (1818468312).

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

1005020328 is a wasteful number, since it uses less digits than its factorization.

1005020328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140098 (or 140094 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1005020328 is about 31702.0555800409. The cubic root of 1005020328 is about 1001.6706500408.

Adding to 1005020328 its reverse (8230205001), we get a palindrome (9235225329).

The spelling of 1005020328 in words is "one billion, five million, twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 7176 140053 280106 420159 560212 840318 1120424 1680636 1820689 3221219 3361272 3641378 5462067 6442438 7282756 9663657 10924134 12884876 14565512 19327314 21848268 25769752 38654628 41875847 43696536 77309256 83751694 125627541 167503388 251255082 335006776 502510164 1005020328