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23798016 = 283311313
BaseRepresentation
bin101101011001…
…0000100000000
31122210001202000
41122302010000
522043014031
62210024000
7406164654
oct132620400
948701660
1023798016
1112484890
127b78000
134c13088
143236a64
1521513e6
hex16b2100

23798016 has 144 divisors (see below), whose sum is σ = 77017920. Its totient is φ = 7188480.

The previous prime is 23798003. The next prime is 23798023. The reversal of 23798016 is 61089732.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75876 + ... + 76188.

Almost surely, 223798016 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 23798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38508960).

23798016 is an abundant number, since it is smaller than the sum of its proper divisors (53219904).

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

23798016 is a wasteful number, since it uses less digits than its factorization.

23798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 23798016 is about 4878.3210226470. The cubic root of 23798016 is about 287.6384351582.

The spelling of 23798016 in words is "twenty-three million, seven hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 313 352 384 396 432 528 576 594 626 704 768 792 864 939 1056 1152 1188 1252 1408 1584 1728 1878 2112 2304 2376 2504 2816 2817 3168 3443 3456 3756 4224 4752 5008 5634 6336 6886 6912 7512 8448 8451 9504 10016 10329 11268 12672 13772 15024 16902 19008 20032 20658 22536 25344 27544 30048 30987 33804 38016 40064 41316 45072 55088 60096 61974 67608 76032 80128 82632 90144 92961 110176 120192 123948 135216 165264 180288 185922 220352 240384 247896 270432 330528 360576 371844 440704 495792 540864 661056 721152 743688 881408 991584 1081728 1322112 1487376 1983168 2163456 2644224 2974752 3966336 5949504 7932672 11899008 23798016