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1071002080 = 25519933637
BaseRepresentation
bin111111110101100…
…011000111100000
32202122021112122201
4333311203013200
54143134031310
6254135142544
735353240021
oct7765430740
92678245581
101071002080
114aa609795
1225a814a54
13140b69b55
14a2350c48
1564058e3a
hex3fd631e0

1071002080 has 48 divisors (see below), whose sum is σ = 2543032800. Its totient is φ = 426235392.

The previous prime is 1071002069. The next prime is 1071002087. The reversal of 1071002080 is 802001701.

It is a super-2 number, since 2×10710020802 = 2294090910728652800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071002087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15022 + ... + 48658.

It is an arithmetic number, because the mean of its divisors is an integer number (52979850).

Almost surely, 21071002080 is an apocalyptic number.

1071002080 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 1071002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271516400).

1071002080 is an abundant number, since it is smaller than the sum of its proper divisors (1472030720).

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

1071002080 is a wasteful number, since it uses less digits than its factorization.

1071002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33851 (or 33843 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 1071002080 is about 32726.1681227729. The cubic root of 1071002080 is about 1023.1283170258.

Adding to 1071002080 its reverse (802001701), we get a palindrome (1873003781).

The spelling of 1071002080 in words is "one billion, seventy-one million, two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 199 398 796 995 1592 1990 3184 3980 6368 7960 15920 31840 33637 67274 134548 168185 269096 336370 538192 672740 1076384 1345480 2690960 5381920 6693763 13387526 26775052 33468815 53550104 66937630 107100208 133875260 214200416 267750520 535501040 1071002080