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10474400 = 255213093
BaseRepresentation
bin100111111101…
…001110100000
3201201011011202
4213331032200
510140140100
61012300332
7155013416
oct47751640
921634152
1010474400
115a04632
1236116a8
132229791
1415692b6
15dbd7d5
hex9fd3a0

10474400 has 36 divisors (see below), whose sum is σ = 25572582. Its totient is φ = 4189440.

The previous prime is 10474391. The next prime is 10474403. The reversal of 10474400 is 447401.

It can be written as a sum of positive squares in 3 ways, for example, as 9560464 + 913936 = 3092^2 + 956^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10474403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5747 + ... + 7346.

Almost surely, 210474400 is an apocalyptic number.

10474400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10474400 is an abundant number, since it is smaller than the sum of its proper divisors (15098182).

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

10474400 is a wasteful number, since it uses less digits than its factorization.

10474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13113 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 10474400 is about 3236.4177727852. The cubic root of 10474400 is about 218.7978507565.

The spelling of 10474400 in words is "ten million, four hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 13093 26186 52372 65465 104744 130930 209488 261860 327325 418976 523720 654650 1047440 1309300 2094880 2618600 5237200 10474400