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20166146 = 27211131439
BaseRepresentation
bin100110011101…
…1011000000010
31101221112202022
41030323120002
520130304041
62000121442
7333260300
oct114733002
941845668
1020166146
1110424140
126906282
134240c40
14296d270
151b8524b
hex133b602

20166146 has 48 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 7247520.

The previous prime is 20166143. The next prime is 20166161. The reversal of 20166146 is 64166102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20166143) 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 23 ways as a sum of consecutive naturals, for example, 13295 + ... + 14733.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 220166146 is an apocalyptic number.

20166146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20166146 is an abundant number, since it is smaller than the sum of its proper divisors (21202174).

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

20166146 is a wasteful number, since it uses less digits than its factorization.

20166146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 20166146 is about 4490.6732234711. The cubic root of 20166146 is about 272.1913392025.

The spelling of 20166146 in words is "twenty million, one hundred sixty-six thousand, one hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 1439 2002 2878 7007 10073 14014 15829 18707 20146 31658 37414 70511 110803 130949 141022 205777 221606 261898 411554 775621 916643 1440439 1551242 1833286 2880878 10083073 20166146