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10485468 = 2232741609
BaseRepresentation
bin100111111111…
…111011011100
3201201201100200
4213333323130
510141013333
61012423500
7155060610
oct47777334
921651320
1010485468
115a11984
123617b90
132231826
14156d340
15dc1c13
hex9ffedc

10485468 has 36 divisors (see below), whose sum is σ = 30292080. Its totient is φ = 2995776.

The previous prime is 10485437. The next prime is 10485469. The reversal of 10485468 is 86458401.

10485468 is a `hidden beast` number, since 104 + 8 + 546 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20553 + ... + 21056.

Almost surely, 210485468 is an apocalyptic number.

10485468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10485468 is an abundant number, since it is smaller than the sum of its proper divisors (19806612).

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

10485468 is a wasteful number, since it uses less digits than its factorization.

10485468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41626 (or 41621 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 10485468 is about 3238.1272365366. The cubic root of 10485468 is about 218.8748894461.

The spelling of 10485468 in words is "ten million, four hundred eighty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 41609 83218 124827 166436 249654 291263 374481 499308 582526 748962 873789 1165052 1497924 1747578 2621367 3495156 5242734 10485468