Search a number
-
+
1064073080 = 235734910889
BaseRepresentation
bin111111011011000…
…111011101111000
32202011020111212002
4333123013131320
54134400314310
6253330440132
735240320610
oct7733073570
92664214762
101064073080
114a6706944
12258433048
1313c5b2055
14a1469a40
156363ada5
hex3f6c7778

1064073080 has 64 divisors (see below), whose sum is σ = 2744280000. Its totient is φ = 363746304.

The previous prime is 1064073079. The next prime is 1064073107. The reversal of 1064073080 is 803704601.

It is a super-2 number, since 2×10640730802 = 2264503039161372800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92276 + ... + 103164.

It is an arithmetic number, because the mean of its divisors is an integer number (42879375).

Almost surely, 21064073080 is an apocalyptic number.

1064073080 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 1064073080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372140000).

1064073080 is an abundant number, since it is smaller than the sum of its proper divisors (1680206920).

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

1064073080 is a wasteful number, since it uses less digits than its factorization.

1064073080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1064073080 is about 32620.1330469390. The cubic root of 1064073080 is about 1020.9171169588.

Adding to 1064073080 its reverse (803704601), we get a palindrome (1867777681).

The spelling of 1064073080 in words is "one billion, sixty-four million, seventy-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 349 698 1396 1745 2443 2792 3490 4886 6980 9772 10889 12215 13960 19544 21778 24430 43556 48860 54445 76223 87112 97720 108890 152446 217780 304892 381115 435560 609784 762230 1524460 3048920 3800261 7600522 15201044 19001305 26601827 30402088 38002610 53203654 76005220 106407308 133009135 152010440 212814616 266018270 532036540 1064073080