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10496768 = 28131313
BaseRepresentation
bin101000000010…
…101100000000
3201202021212012
4220002230000
510141344033
61012552052
7155135552
oct50025400
921667765
1010496768
115a1a417
123622628
132236a09
1415734d2
15dc5248
hexa02b00

10496768 has 36 divisors (see below), whose sum is σ = 21179928. Its totient is φ = 5191680.

The previous prime is 10496767. The next prime is 10496777. The reversal of 10496768 is 86769401.

It is a super-2 number, since 2×104967682 = 220364276891648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10496767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33380 + ... + 33692.

Almost surely, 210496768 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 10496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10589964).

10496768 is an abundant number, since it is smaller than the sum of its proper divisors (10683160).

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

10496768 is an equidigital number, since it uses as much as digits as its factorization.

10496768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 10496768 is about 3239.8716023941. The cubic root of 10496768 is about 218.9534870604.

The spelling of 10496768 in words is "ten million, four hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 313 524 626 1048 1252 2096 2504 4192 5008 8384 10016 16768 20032 33536 40064 41003 80128 82006 164012 328024 656048 1312096 2624192 5248384 10496768