Search a number
-
+
10568064 = 273132973
BaseRepresentation
bin101000010100…
…000110000000
3201212220122210
4220110012000
510201134224
61014302120
7155553453
oct50240600
921786583
1010568064
115a68a41
123657940
1322602c0
14159149a
15ddb429
hexa14180

10568064 has 128 divisors (see below), whose sum is σ = 31701600. Its totient is φ = 3096576.

The previous prime is 10568057. The next prime is 10568083. The reversal of 10568064 is 46086501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105680642 = 223367953416192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 144732 + ... + 144804.

Almost surely, 210568064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850800).

10568064 is an abundant number, since it is smaller than the sum of its proper divisors (21133536).

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

10568064 is a wasteful number, since it uses less digits than its factorization.

10568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10568064 is about 3250.8558873011. The cubic root of 10568064 is about 219.4480931912.

It can be divided in two parts, 1056806 and 4, that multiplied together give a palindrome (4227224).

The spelling of 10568064 in words is "ten million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 73 78 87 96 104 116 128 146 156 174 192 208 219 232 292 312 348 377 384 416 438 464 584 624 696 754 832 876 928 949 1131 1168 1248 1392 1508 1664 1752 1856 1898 2117 2262 2336 2496 2784 2847 3016 3504 3712 3796 4234 4524 4672 4992 5568 5694 6032 6351 7008 7592 8468 9048 9344 11136 11388 12064 12702 14016 15184 16936 18096 22776 24128 25404 27521 28032 30368 33872 36192 45552 48256 50808 55042 60736 67744 72384 82563 91104 101616 110084 121472 135488 144768 165126 182208 203232 220168 270976 330252 364416 406464 440336 660504 812928 880672 1321008 1761344 2642016 3522688 5284032 10568064