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1027106070 = 235332310303
BaseRepresentation
bin111101001110000…
…110010100010110
32122120200101122120
4331032012110112
54100414343240
6245530240410
734311154224
oct7516062426
92576611576
101027106070
11487857aa1
12247b86106
13134a3ab93
149a5a5b14
1560287ad0
hex3d386516

1027106070 has 32 divisors (see below), whose sum is σ = 2466035712. Its totient is φ = 273785952.

The previous prime is 1027106053. The next prime is 1027106071. The reversal of 1027106070 is 706017201.

1027106070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1027106070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027106071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94539 + ... + 104841.

It is an arithmetic number, because the mean of its divisors is an integer number (77063616).

Almost surely, 21027106070 is an apocalyptic number.

1027106070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1027106070 is an abundant number, since it is smaller than the sum of its proper divisors (1438929642).

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

1027106070 is a wasteful number, since it uses less digits than its factorization.

1027106070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13636.

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 1027106070 is about 32048.4955965175. The cubic root of 1027106070 is about 1008.9549265891.

The spelling of 1027106070 in words is "one billion, twenty-seven million, one hundred six thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 3323 6646 9969 10303 16615 19938 20606 30909 33230 49845 51515 61818 99690 103030 154545 309090 34236869 68473738 102710607 171184345 205421214 342368690 513553035 1027106070