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10667189 = 131922273
BaseRepresentation
bin101000101100…
…010010110101
3202001221122002
4220230102311
510212322224
61020345045
7156445451
oct50542265
922057562
1010667189
116026465
1236a5185
132296460
1415b9661
15e0a9ae
hexa2c4b5

10667189 has 12 divisors (see below), whose sum is σ = 12129516. Its totient is φ = 9324288.

The previous prime is 10667179. The next prime is 10667191. The reversal of 10667189 is 98176601.

It can be written as a sum of positive squares in 2 ways, for example, as 5640625 + 5026564 = 2375^2 + 2242^2 .

It is not a de Polignac number, because 10667189 - 216 = 10601653 is a prime.

It is a super-2 number, since 2×106671892 = 227577842323442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10667179) 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 11 ways as a sum of consecutive naturals, for example, 3557 + ... + 5829.

It is an arithmetic number, because the mean of its divisors is an integer number (1010793).

Almost surely, 210667189 is an apocalyptic number.

10667189 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10667189 is a deficient number, since it is larger than the sum of its proper divisors (1462327).

10667189 is a wasteful number, since it uses less digits than its factorization.

10667189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 10667189 is about 3266.0662883659. The cubic root of 10667189 is about 220.1320763399.

The spelling of 10667189 in words is "ten million, six hundred sixty-seven thousand, one hundred eighty-nine".

Divisors: 1 13 19 247 361 2273 4693 29549 43187 561431 820553 10667189