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10720064 = 261759167
BaseRepresentation
bin101000111001…
…001101000000
3202011122011102
4220321031000
510221020224
61021433532
7160055555
oct50711500
922148142
1010720064
116062163
12370b8a8
1322b4544
1415d0a2c
15e1b4ae
hexa39340

10720064 has 56 divisors (see below), whose sum is σ = 23042880. Its totient is φ = 4929536.

The previous prime is 10720043. The next prime is 10720069. The reversal of 10720064 is 46002701.

It is a super-2 number, since 2×107200642 = 229839544328192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10720069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64109 + ... + 64275.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 210720064 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 10720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521440).

10720064 is an abundant number, since it is smaller than the sum of its proper divisors (12322816).

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

10720064 is a wasteful number, since it uses less digits than its factorization.

10720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10720064 is about 3274.1508822899. The cubic root of 10720064 is about 220.4951930846.

Adding to 10720064 its reverse (46002701), we get a palindrome (56722765).

The spelling of 10720064 in words is "ten million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 167 236 272 334 472 544 668 944 1003 1088 1336 1888 2006 2672 2839 3776 4012 5344 5678 8024 9853 10688 11356 16048 19706 22712 32096 39412 45424 64192 78824 90848 157648 167501 181696 315296 335002 630592 670004 1340008 2680016 5360032 10720064