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20949948 = 2233296689
BaseRepresentation
bin100111111101…
…0101110111100
31110102100221000
41033322232330
520330344243
62025010300
7343033365
oct117725674
943370830
1020949948
111090a008
127023990
134456926
142ad4b6c
151c8c5d3
hex13fabbc

20949948 has 48 divisors (see below), whose sum is σ = 56196000. Its totient is φ = 6741504.

The previous prime is 20949937. The next prime is 20949949. The reversal of 20949948 is 84994902.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20949949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213 + ... + 6476.

It is an arithmetic number, because the mean of its divisors is an integer number (1170750).

Almost surely, 220949948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20949948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098000).

20949948 is an abundant number, since it is smaller than the sum of its proper divisors (35246052).

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

20949948 is a wasteful number, since it uses less digits than its factorization.

20949948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 20949948 is about 4577.1113161032. Note that the first 3 decimals coincide. The cubic root of 20949948 is about 275.6730533090.

The spelling of 20949948 in words is "twenty million, nine hundred forty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 6689 13378 20067 26756 40134 60201 80268 120402 180603 193981 240804 361206 387962 581943 722412 775924 1163886 1745829 2327772 3491658 5237487 6983316 10474974 20949948