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1071170080 = 25527724169
BaseRepresentation
bin111111110110001…
…100001000100000
32202122121002002221
4333312030020200
54143204420310
6254142520424
735354536561
oct7766141040
92678532087
101071170080
114aa713a32
1225a896114
13140bc8466
14a2396168
156408dada
hex3fd8c220

1071170080 has 48 divisors (see below), whose sum is σ = 2539880280. Its totient is φ = 426903552.

The previous prime is 1071170077. The next prime is 1071170083. The reversal of 1071170080 is 800711701.

It is an interprime number because it is at equal distance from previous prime (1071170077) and next prime (1071170083).

It can be written as a sum of positive squares in 4 ways, for example, as 960752016 + 110418064 = 30996^2 + 10508^2 .

It is a super-2 number, since 2×10711700802 = 2294810680574412800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071170083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32236 + ... + 56404.

Almost surely, 21071170080 is an apocalyptic number.

1071170080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071170080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269940140).

1071170080 is an abundant number, since it is smaller than the sum of its proper divisors (1468710200).

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

1071170080 is a wasteful number, since it uses less digits than its factorization.

1071170080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24461 (or 24453 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 25.

The square root of 1071170080 is about 32728.7347754233. The cubic root of 1071170080 is about 1023.1818110304.

Adding to 1071170080 its reverse (800711701), we get a palindrome (1871881781).

The spelling of 1071170080 in words is "one billion, seventy-one million, one hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 4432 5540 8864 11080 22160 24169 44320 48338 96676 120845 193352 241690 386704 483380 773408 966760 1933520 3867040 6694813 13389626 26779252 33474065 53558504 66948130 107117008 133896260 214234016 267792520 535585040 1071170080