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20170948 = 2272102913
BaseRepresentation
bin100110011110…
…0100011000100
31101221210100011
41030330203010
520130432243
62000200004
7333310300
oct114744304
941853304
1020170948
1110427806
126909004
134243195
142970d00
151b8689d
hex133c8c4

20170948 has 18 divisors (see below), whose sum is σ = 41062686. Its totient is φ = 8644608.

The previous prime is 20170933. The next prime is 20170949. The reversal of 20170948 is 84907102.

It can be written as a sum of positive squares in only one way, i.e., 12945604 + 7225344 = 3598^2 + 2688^2 .

It is not an unprimeable number, because it can be changed into a prime (20170949) 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, 51261 + ... + 51652.

Almost surely, 220170948 is an apocalyptic number.

20170948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20170948 is an abundant number, since it is smaller than the sum of its proper divisors (20891738).

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

20170948 is a wasteful number, since it uses less digits than its factorization.

20170948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102931 (or 102922 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 20170948 is about 4491.2078553547. The cubic root of 20170948 is about 272.2129423896.

It can be divided in two parts, 2017094 and 8, that added together give a palindrome (2017102).

The spelling of 20170948 in words is "twenty million, one hundred seventy thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 102913 205826 411652 720391 1440782 2881564 5042737 10085474 20170948