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20494968 = 23313231163
BaseRepresentation
bin100111000101…
…1101001111000
31102120020210220
41032023221320
520221314333
62011140040
7336130044
oct116135170
942506726
1020494968
111062919a
126a44620
134327800
142a17024
151bec8b3
hex138ba78

20494968 has 96 divisors (see below), whose sum is σ = 57623040. Its totient is φ = 6065280.

The previous prime is 20494907. The next prime is 20494987. The reversal of 20494968 is 86949402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125655 + ... + 125817.

It is an arithmetic number, because the mean of its divisors is an integer number (600240).

Almost surely, 220494968 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 20494968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28811520).

20494968 is an abundant number, since it is smaller than the sum of its proper divisors (37128072).

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

20494968 is a wasteful number, since it uses less digits than its factorization.

20494968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 20494968 is about 4527.1368435248. The cubic root of 20494968 is about 273.6627886742.

The spelling of 20494968 in words is "twenty million, four hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 163 169 186 248 312 326 338 372 403 489 507 652 676 744 806 978 1014 1209 1304 1352 1612 1956 2028 2119 2418 3224 3912 4056 4238 4836 5053 5239 6357 8476 9672 10106 10478 12714 15159 15717 16952 20212 20956 25428 27547 30318 31434 40424 41912 50856 55094 60636 62868 65689 82641 110188 121272 125736 131378 165282 197067 220376 262756 330564 394134 525512 661128 788268 853957 1576536 1707914 2561871 3415828 5123742 6831656 10247484 20494968