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1006893330 = 235311082681
BaseRepresentation
bin111100000000111…
…111100100010010
32121011122110222120
4330000333210102
54030231041310
6243525115110
733644311032
oct7400774422
92534573876
101006893330
11477401953
12241258a96
131307b1991
1497a238c2
155d5e3b70
hex3c03f912

1006893330 has 32 divisors (see below), whose sum is σ = 2494499328. Its totient is φ = 259843200.

The previous prime is 1006893319. The next prime is 1006893359. The reversal of 1006893330 is 333986001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006893291 and 1006893300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540411 + ... + 542270.

It is an arithmetic number, because the mean of its divisors is an integer number (77953104).

Almost surely, 21006893330 is an apocalyptic number.

1006893330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006893330 is an abundant number, since it is smaller than the sum of its proper divisors (1487605998).

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

1006893330 is a wasteful number, since it uses less digits than its factorization.

1006893330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082722.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1006893330 is about 31731.5825322343. The cubic root of 1006893330 is about 1002.2925170162.

The spelling of 1006893330 in words is "one billion, six million, eight hundred ninety-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1082681 2165362 3248043 5413405 6496086 10826810 16240215 32480430 33563111 67126222 100689333 167815555 201378666 335631110 503446665 1006893330