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1006868730 = 23579749429
BaseRepresentation
bin111100000000111…
…001100011111010
32121011121020020110
4330000321203322
54030224244410
6243524405150
733644146230
oct7400714372
92534536213
101006868730
1147739541a
122412467b6
131307a371a
1497a18950
155d5db720
hex3c0398fa

1006868730 has 64 divisors (see below), whose sum is σ = 2790224640. Its totient is φ = 227764224.

The previous prime is 1006868711. The next prime is 1006868761. The reversal of 1006868730 is 378686001.

1006868730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4345 + ... + 45084.

It is an arithmetic number, because the mean of its divisors is an integer number (43597260).

Almost surely, 21006868730 is an apocalyptic number.

1006868730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006868730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395112320).

1006868730 is an abundant number, since it is smaller than the sum of its proper divisors (1783355910).

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

1006868730 is a wasteful number, since it uses less digits than its factorization.

1006868730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49543.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1006868730 is about 31731.1949034385. The cubic root of 1006868730 is about 1002.2843544181.

The spelling of 1006868730 in words is "one billion, six million, eight hundred sixty-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 582 679 970 1358 1455 2037 2910 3395 4074 6790 10185 20370 49429 98858 148287 247145 296574 346003 494290 692006 741435 1038009 1482870 1730015 2076018 3460030 4794613 5190045 9589226 10380090 14383839 23973065 28767678 33562291 47946130 67124582 71919195 100686873 143838390 167811455 201373746 335622910 503434365 1006868730