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10756064 = 251130557
BaseRepresentation
bin101001000001…
…111111100000
3202020110112202
4221001333200
510223143224
61022312332
7160265534
oct51017740
922213482
1010756064
116087210
1237286a8
1322c7a47
1415ddbc4
15e26eae
hexa41fe0

10756064 has 24 divisors (see below), whose sum is σ = 23101848. Its totient is φ = 4888960.

The previous prime is 10756051. The next prime is 10756073. The reversal of 10756064 is 46065701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14927 + ... + 15630.

It is an arithmetic number, because the mean of its divisors is an integer number (962577).

Almost surely, 210756064 is an apocalyptic number.

It is an amenable number.

10756064 is an abundant number, since it is smaller than the sum of its proper divisors (12345784).

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

10756064 is a wasteful number, since it uses less digits than its factorization.

10756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30578 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 10756064 is about 3279.6438831068. The cubic root of 10756064 is about 220.7417388116.

The spelling of 10756064 in words is "ten million, seven hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 30557 61114 122228 244456 336127 488912 672254 977824 1344508 2689016 5378032 10756064