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10616064 = 28323601
BaseRepresentation
bin101000011111…
…110100000000
3201222100111120
4220133310000
510204203224
61015312240
7156143424
oct50376400
921870446
1010616064
115aa1008
12367b680
1322790c4
1415a4b84
15dea779
hexa1fd00

10616064 has 72 divisors (see below), whose sum is σ = 29531712. Its totient is φ = 3379200.

The previous prime is 10616051. The next prime is 10616071. The reversal of 10616064 is 46061601.

It is a super-2 number, since 2×106160642 = 225401629704192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17364 + ... + 17964.

Almost surely, 210616064 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 10616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14765856).

10616064 is an abundant number, since it is smaller than the sum of its proper divisors (18915648).

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

10616064 is an equidigital number, since it uses as much as digits as its factorization.

10616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10616064 is about 3258.2301944461. The cubic root of 10616064 is about 219.7798348395.

Adding to 10616064 its reverse (46061601), we get a palindrome (56677665).

It can be divided in two parts, 1061606 and 4, that multiplied together give a palindrome (4246424).

The spelling of 10616064 in words is "ten million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 601 736 768 1104 1202 1472 1803 2208 2404 2944 3606 4416 4808 5888 7212 8832 9616 13823 14424 17664 19232 27646 28848 38464 41469 55292 57696 76928 82938 110584 115392 153856 165876 221168 230784 331752 442336 461568 663504 884672 1327008 1769344 2654016 3538688 5308032 10616064