Search a number
-
+
19954944 = 28332887
BaseRepresentation
bin100110000011…
…1110100000000
31101112211001000
41030013310000
520102024234
61551412000
7331420452
oct114076400
941484030
1019954944
111029a499
126824000
134198a79
1429162d2
151b42899
hex1307d00

19954944 has 72 divisors (see below), whose sum is σ = 59030720. Its totient is φ = 6649344.

The previous prime is 19954939. The next prime is 19954969. The reversal of 19954944 is 44945991.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×199549443 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19954944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5469 + ... + 8355.

Almost surely, 219954944 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 19954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29515360).

19954944 is an abundant number, since it is smaller than the sum of its proper divisors (39075776).

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

19954944 is an equidigital number, since it uses as much as digits as its factorization.

19954944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2892 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 19954944 is about 4467.0957007882. The cubic root of 19954944 is about 271.2377737345.

The spelling of 19954944 in words is "nineteen million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2887 3456 5774 6912 8661 11548 17322 23096 25983 34644 46192 51966 69288 77949 92384 103932 138576 155898 184768 207864 277152 311796 369536 415728 554304 623592 739072 831456 1108608 1247184 1662912 2217216 2494368 3325824 4988736 6651648 9977472 19954944