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10001466 = 232555637
BaseRepresentation
bin100110001001…
…110000111010
3200211010102200
4212021300322
510030021331
6554211030
7151003536
oct46116072
920733380
1010001466
115711282
123423a76
1320c2437
141484bc6
15d285e6
hex989c3a

10001466 has 12 divisors (see below), whose sum is σ = 21669882. Its totient is φ = 3333816.

The previous prime is 10001461. The next prime is 10001473. The reversal of 10001466 is 66410001.

It can be written as a sum of positive squares in only one way, i.e., 7209225 + 2792241 = 2685^2 + 1671^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 555637 = 10001466 / (1 + 0 + 0 + 0 + 1 + 4 + 6 + 6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10001461) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 277801 + ... + 277836.

Almost surely, 210001466 is an apocalyptic number.

10001466 is an abundant number, since it is smaller than the sum of its proper divisors (11668416).

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

10001466 is a wasteful number, since it uses less digits than its factorization.

10001466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555645 (or 555642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10001466 is about 3162.5094466262. The cubic root of 10001466 is about 215.4539964929.

Adding to 10001466 its reverse (66410001), we get a palindrome (76411467).

The spelling of 10001466 in words is "ten million, one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 555637 1111274 1666911 3333822 5000733 10001466