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1070084310 = 23553719479
BaseRepresentation
bin111111110010000…
…011000011010110
32202120112220201020
4333302003003112
54142420144220
6254103342010
735342365221
oct7762030326
92676486636
101070084310
114aa0421a9
1225a451906
131409081a9
14a21925b8
1563e27040
hex3fc830d6

1070084310 has 64 divisors (see below), whose sum is σ = 2653793280. Its totient is φ = 275999360.

The previous prime is 1070084293. The next prime is 1070084317. The reversal of 1070084310 is 134800701.

It is a super-4 number, since 4×10700843104 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070084317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108151 + ... + 117629.

It is an arithmetic number, because the mean of its divisors is an integer number (41465520).

Almost surely, 21070084310 is an apocalyptic number.

1070084310 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 1070084310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326896640).

1070084310 is an abundant number, since it is smaller than the sum of its proper divisors (1583708970).

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

1070084310 is a wasteful number, since it uses less digits than its factorization.

1070084310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1070084310 is about 32712.1431581607. The cubic root of 1070084310 is about 1022.8359849386.

The spelling of 1070084310 in words is "one billion, seventy million, eighty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 71 106 142 159 213 265 318 355 426 530 710 795 1065 1590 2130 3763 7526 9479 11289 18815 18958 22578 28437 37630 47395 56445 56874 94790 112890 142185 284370 502387 673009 1004774 1346018 1507161 2019027 2511935 3014322 3365045 4038054 5023870 6730090 7535805 10095135 15071610 20190270 35669477 71338954 107008431 178347385 214016862 356694770 535042155 1070084310