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1005020144 = 241723160649
BaseRepresentation
bin111011111001110…
…110001111110000
32121001010022110022
4323321312033300
54024241121034
6243421023012
733622346612
oct7371661760
92531108408
101005020144
11476342567
122406b4a68
131302a719b
1497696db2
155d373b2e
hex3be763f0

1005020144 has 40 divisors (see below), whose sum is σ = 2151424800. Its totient is φ = 452384768.

The previous prime is 1005020117. The next prime is 1005020171. The reversal of 1005020144 is 4410205001.

It is an interprime number because it is at equal distance from previous prime (1005020117) and next prime (1005020171).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74069 + ... + 86580.

It is an arithmetic number, because the mean of its divisors is an integer number (53785620).

Almost surely, 21005020144 is an apocalyptic number.

It is an amenable number.

1005020144 is an abundant number, since it is smaller than the sum of its proper divisors (1146404656).

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

1005020144 is a wasteful number, since it uses less digits than its factorization.

1005020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160697 (or 160691 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1005020144 is about 31702.0526780207. The cubic root of 1005020144 is about 1001.6705889119.

Adding to 1005020144 its reverse (4410205001), we get a palindrome (5415225145).

The spelling of 1005020144 in words is "one billion, five million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1564 3128 6256 160649 321298 642596 1285192 2570384 2731033 3694927 5462066 7389854 10924132 14779708 21848264 29559416 43696528 59118832 62813759 125627518 251255036 502510072 1005020144