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11946064 = 241379727
BaseRepresentation
bin101101100100…
…100001010000
3211110220220211
4231210201100
511024233224
61104013504
7203353114
oct55444120
924426824
1011946064
11681a289
124001294
1326235a0
14182d744
1510ae894
hexb64850

11946064 has 40 divisors (see below), whose sum is σ = 25276160. Its totient is φ = 5436288.

The previous prime is 11946059. The next prime is 11946089. The reversal of 11946064 is 46064911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16069 + ... + 16795.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 211946064 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 11946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638080).

11946064 is an abundant number, since it is smaller than the sum of its proper divisors (13330096).

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

11946064 is a wasteful number, since it uses less digits than its factorization.

11946064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 11946064 is about 3456.3078566586. The cubic root of 11946064 is about 228.5993260592.

The spelling of 11946064 in words is "eleven million, nine hundred forty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 727 1027 1264 1454 2054 2908 4108 5816 8216 9451 11632 16432 18902 37804 57433 75608 114866 151216 229732 459464 746629 918928 1493258 2986516 5973032 11946064