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10474112 = 271143173
BaseRepresentation
bin100111111101…
…001010000000
3201201010210002
4213331022000
510140132422
61012255132
7155012525
oct47751200
921633702
1010474112
115a043a0
1236114a8
1322295cc
14156914c
15dbd692
hex9fd280

10474112 has 64 divisors (see below), whose sum is σ = 23427360. Its totient is φ = 4623360.

The previous prime is 10474103. The next prime is 10474151. The reversal of 10474112 is 21147401.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60458 + ... + 60630.

Almost surely, 210474112 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 10474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713680).

10474112 is an abundant number, since it is smaller than the sum of its proper divisors (12953248).

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

10474112 is a wasteful number, since it uses less digits than its factorization.

10474112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10474112 is about 3236.3732788416. The cubic root of 10474112 is about 218.7958454115.

Subtracting 10474112 from its reverse (21147401), we obtain a square (10673289 = 32672).

The spelling of 10474112 in words is "ten million, four hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 173 176 344 346 352 473 688 692 704 946 1376 1384 1408 1892 1903 2752 2768 3784 3806 5504 5536 7439 7568 7612 11072 14878 15136 15224 22144 29756 30272 30448 59512 60544 60896 81829 119024 121792 163658 238048 243584 327316 476096 654632 952192 1309264 2618528 5237056 10474112