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1006901340 = 2235166710067
BaseRepresentation
bin111100000001000…
…001100001011100
32121011122212222020
4330001001201130
54030231320330
6243525220140
733644343264
oct7401014134
92534585866
101006901340
11477407975
12241261650
131307b5513
1497a267a4
155d5e6210
hex3c04185c

1006901340 has 48 divisors (see below), whose sum is σ = 2821295232. Its totient is φ = 268319296.

The previous prime is 1006901327. The next prime is 1006901377. The reversal of 1006901340 is 431096001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006901340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94987 + ... + 105053.

It is an arithmetic number, because the mean of its divisors is an integer number (58776984).

Almost surely, 21006901340 is an apocalyptic number.

1006901340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006901340 is an abundant number, since it is smaller than the sum of its proper divisors (1814393892).

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

1006901340 is a wasteful number, since it uses less digits than its factorization.

1006901340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746 (or 11744 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1006901340 is about 31731.7087469301. The cubic root of 1006901340 is about 1002.2951748091.

Adding to 1006901340 its reverse (431096001), we get a palindrome (1437997341).

The spelling of 1006901340 in words is "one billion, six million, nine hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1667 3334 5001 6668 8335 10002 10067 16670 20004 20134 25005 30201 33340 40268 50010 50335 60402 100020 100670 120804 151005 201340 302010 604020 16781689 33563378 50345067 67126756 83908445 100690134 167816890 201380268 251725335 335633780 503450670 1006901340