Search a number
-
+
1065597380 = 225419713397
BaseRepresentation
bin111111100000111…
…011100111000100
32202021002221210122
4333200323213010
54140243104010
6253423241112
735256266621
oct7740734704
92667087718
101065597380
114a75580a1
12258a49198
1313c9c6ac3
14a1745348
156383c855
hex3f83b9c4

1065597380 has 48 divisors (see below), whose sum is σ = 2316139056. Its totient is φ = 411525120.

The previous prime is 1065597367. The next prime is 1065597427. The reversal of 1065597380 is 837955601.

It can be written as a sum of positive squares in 8 ways, for example, as 420742144 + 644855236 = 20512^2 + 25394^2 .

It is a super-2 number, since 2×10655973802 = 2270995552525728800, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72842 + ... + 86238.

It is an arithmetic number, because the mean of its divisors is an integer number (48252897).

Almost surely, 21065597380 is an apocalyptic number.

1065597380 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 1065597380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158069528).

1065597380 is an abundant number, since it is smaller than the sum of its proper divisors (1250541676).

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

1065597380 is a wasteful number, since it uses less digits than its factorization.

1065597380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13544 (or 13542 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 1065597380 is about 32643.4890904756. The cubic root of 1065597380 is about 1021.4043771844.

The spelling of 1065597380 in words is "one billion, sixty-five million, five hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 97 164 194 205 388 410 485 820 970 1940 3977 7954 13397 15908 19885 26794 39770 53588 66985 79540 133970 267940 549277 1098554 1299509 2197108 2599018 2746385 5198036 5492770 6497545 10985540 12995090 25990180 53279869 106559738 213119476 266399345 532798690 1065597380