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10485104 = 247179523
BaseRepresentation
bin100111111111…
…110101110000
3201201200212012
4213333311300
510141010404
61012422052
7155056550
oct47776560
921650765
1010485104
115a11683
123617928
132231606
14156d160
15dc1a6e
hex9ffd70

10485104 has 40 divisors (see below), whose sum is σ = 23391360. Its totient is φ = 4459968.

The previous prime is 10485103. The next prime is 10485119. The reversal of 10485104 is 40158401.

It is a self number, because there is not a number n which added to its sum of digits gives 10485104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19787 + ... + 20309.

It is an arithmetic number, because the mean of its divisors is an integer number (584784).

Almost surely, 210485104 is an apocalyptic number.

10485104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695680).

10485104 is an abundant number, since it is smaller than the sum of its proper divisors (12906256).

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

10485104 is a wasteful number, since it uses less digits than its factorization.

10485104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 10485104 is about 3238.0710307218. The cubic root of 10485104 is about 218.8723566905.

The spelling of 10485104 in words is "ten million, four hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 179 358 523 716 1046 1253 1432 2092 2506 2864 3661 4184 5012 7322 8368 10024 14644 20048 29288 58576 93617 187234 374468 655319 748936 1310638 1497872 2621276 5242552 10485104