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10663424 = 2959353
BaseRepresentation
bin101000101011…
…011000000000
3202001202110122
4220223120000
510212212144
61020315412
7156431462
oct50533000
922052418
1010663424
116023652
1236a2b68
132294825
1415b8132
15e097ee
hexa2b600

10663424 has 40 divisors (see below), whose sum is σ = 21728520. Its totient is φ = 5226496.

The previous prime is 10663423. The next prime is 10663439. The reversal of 10663424 is 42436601.

It is a super-2 number, since 2×106634242 = 227417222807552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10663393 and 10663402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663423) 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, 30032 + ... + 30384.

It is an arithmetic number, because the mean of its divisors is an integer number (543213).

Almost surely, 210663424 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 10663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864260).

10663424 is an abundant number, since it is smaller than the sum of its proper divisors (11065096).

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

10663424 is an frugal number, since it uses more digits than its factorization.

10663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 10663424 is about 3265.4898560553. The cubic root of 10663424 is about 220.1061746459.

The spelling of 10663424 in words is "ten million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 353 472 512 706 944 1412 1888 2824 3776 5648 7552 11296 15104 20827 22592 30208 41654 45184 83308 90368 166616 180736 333232 666464 1332928 2665856 5331712 10663424