Search a number
-
+
1064252360 = 235176125657
BaseRepresentation
bin111111011011110…
…011001111001000
32202011120121210002
4333123303033020
54134422033420
6253334342132
735241665363
oct7733631710
92664517702
101064252360
114a6819606
122584ba948
1313c645832
14a14b50da
1563674075
hex3f6f33c8

1064252360 has 64 divisors (see below), whose sum is σ = 2577089520. Its totient is φ = 394076160.

The previous prime is 1064252359. The next prime is 1064252363. The reversal of 1064252360 is 632524601.

It can be written as a sum of positive squares in 8 ways, for example, as 208455844 + 855796516 = 14438^2 + 29254^2 .

It is a super-2 number, since 2×10642523602 = 2265266171531139200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064252363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28652 + ... + 54308.

Almost surely, 21064252360 is an apocalyptic number.

1064252360 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 1064252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288544760).

1064252360 is an abundant number, since it is smaller than the sum of its proper divisors (1512837160).

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

1064252360 is a wasteful number, since it uses less digits than its factorization.

1064252360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25746 (or 25742 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 1064252360 is about 32622.8809273491. The cubic root of 1064252360 is about 1020.9744500330.

Adding to 1064252360 its reverse (632524601), we get a palindrome (1696776961).

The spelling of 1064252360 in words is "one billion, sixty-four million, two hundred fifty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 20740 25657 41480 51314 102628 128285 205256 256570 436169 513140 872338 1026280 1565077 1744676 2180845 3130154 3489352 4361690 6260308 7825385 8723380 12520616 15650770 17446760 26606309 31301540 53212618 62603080 106425236 133031545 212850472 266063090 532126180 1064252360