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10417104 = 243272341
BaseRepresentation
bin100111101111…
…001111010000
3201121020120200
4213233033100
510131321404
61011135200
7154354365
oct47571720
921536520
1010417104
115975585
1235a4500
132209689
14155246c
15dab839
hex9ef3d0

10417104 has 30 divisors (see below), whose sum is σ = 29153826. Its totient is φ = 3472320.

The previous prime is 10417087. The next prime is 10417109. The reversal of 10417104 is 40171401.

It can be written as a sum of positive squares in only one way, i.e., 10112400 + 304704 = 3180^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10417109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36027 + ... + 36314.

Almost surely, 210417104 is an apocalyptic number.

It is an amenable number.

10417104 is an abundant number, since it is smaller than the sum of its proper divisors (18736722).

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

10417104 is a wasteful number, since it uses less digits than its factorization.

10417104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72355 (or 72346 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10417104 is about 3227.5538725171. The cubic root of 10417104 is about 218.3981725082.

Adding to 10417104 its reverse (40171401), we get a palindrome (50588505).

The spelling of 10417104 in words is "ten million, four hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 72341 144682 217023 289364 434046 578728 651069 868092 1157456 1302138 1736184 2604276 3472368 5208552 10417104