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19948104 = 23321189283
BaseRepresentation
bin100110000011…
…0001001001000
31101112110122200
41030012021020
520101314404
61551320200
7331361511
oct114061110
941473580
1019948104
1110295340
126820060
134195917
142913a08
151b40839
hex1306248

19948104 has 96 divisors (see below), whose sum is σ = 59810400. Its totient is φ = 5955840.

The previous prime is 19948091. The next prime is 19948121. The reversal of 19948104 is 40184991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70347 + ... + 70629.

It is an arithmetic number, because the mean of its divisors is an integer number (623025).

Almost surely, 219948104 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 19948104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29905200).

19948104 is an abundant number, since it is smaller than the sum of its proper divisors (39862296).

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

19948104 is a wasteful number, since it uses less digits than its factorization.

19948104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 19948104 is about 4466.3300370662. The cubic root of 19948104 is about 271.2067792703.

The spelling of 19948104 in words is "nineteen million, nine hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 283 356 396 534 566 712 792 801 849 979 1068 1132 1602 1698 1958 2136 2264 2547 2937 3113 3204 3396 3916 5094 5874 6226 6408 6792 7832 8811 9339 10188 11748 12452 17622 18678 20376 23496 24904 25187 28017 35244 37356 50374 56034 70488 74712 75561 100748 112068 151122 201496 224136 226683 277057 302244 453366 554114 604488 831171 906732 1108228 1662342 1813464 2216456 2493513 3324684 4987026 6649368 9974052 19948104