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1005235490 = 257213914759
BaseRepresentation
bin111011111010101…
…010110100100010
32121001112020212002
4323322222310202
54024320013430
6243425404002
733624234500
oct7372526442
92531466762
101005235490
1147647a336
12240799602
131303511cc
1497711670
155d3b7845
hex3beaad22

1005235490 has 48 divisors (see below), whose sum is σ = 2120126400. Its totient is φ = 342149472.

The previous prime is 1005235463. The next prime is 1005235501. The reversal of 1005235490 is 945325001.

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 23 ways as a sum of consecutive naturals, for example, 60731 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (44169300).

Almost surely, 21005235490 is an apocalyptic number.

1005235490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005235490 is an abundant number, since it is smaller than the sum of its proper divisors (1114890910).

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

1005235490 is a wasteful number, since it uses less digits than its factorization.

1005235490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 1005235490 is about 31705.4489007804. The cubic root of 1005235490 is about 1001.7421265659.

The spelling of 1005235490 in words is "one billion, five million, two hundred thirty-five thousand, four hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 139 245 278 490 695 973 1390 1946 4865 6811 9730 13622 14759 29518 34055 68110 73795 103313 147590 206626 516565 723191 1033130 1446382 2051501 3615955 4103002 7231910 10257505 14360507 20515010 28721014 71802535 100523549 143605070 201047098 502617745 1005235490