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10520064 = 2933761
BaseRepresentation
bin101000001000…
…011000000000
3201210110211000
4220020120000
510143120224
61013252000
7155263512
oct50103000
921713730
1010520064
115a35975
123634000
1322444b9
14157bbb2
15dcc0c9
hexa08600

10520064 has 80 divisors (see below), whose sum is σ = 31181040. Its totient is φ = 3502080.

The previous prime is 10520051. The next prime is 10520071. The reversal of 10520064 is 46002501.

It is a happy number.

It is a super-2 number, since 2×105200642 = 221343493128192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13444 + ... + 14204.

It is an arithmetic number, because the mean of its divisors is an integer number (389763).

Almost surely, 210520064 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 10520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590520).

10520064 is an abundant number, since it is smaller than the sum of its proper divisors (20660976).

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

10520064 is an frugal number, since it uses more digits than its factorization.

10520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10520064 is about 3243.4648140530. The cubic root of 10520064 is about 219.1153455054.

Adding to 10520064 its reverse (46002501), we get a palindrome (56522565).

It can be divided in two parts, 1052006 and 4, that multiplied together give a palindrome (4208024).

The spelling of 10520064 in words is "ten million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 761 768 864 1152 1522 1536 1728 2283 2304 3044 3456 4566 4608 6088 6849 6912 9132 12176 13698 13824 18264 20547 24352 27396 36528 41094 48704 54792 73056 82188 97408 109584 146112 164376 194816 219168 292224 328752 389632 438336 584448 657504 876672 1168896 1315008 1753344 2630016 3506688 5260032 10520064