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23191920 = 243551193
BaseRepresentation
bin101100001111…
…0000101110000
31121122021100000
41120132011300
521414120140
62145030000
7401061633
oct130360560
947567300
1023191920
1112100484
127925300
134a6023b
143119c1a
152081a30
hex161e170

23191920 has 120 divisors (see below), whose sum is σ = 80838576. Its totient is φ = 6179328.

The previous prime is 23191907. The next prime is 23191957. The reversal of 23191920 is 2919132.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18844 + ... + 20036.

Almost surely, 223191920 is an apocalyptic number.

23191920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23191920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40419288).

23191920 is an abundant number, since it is smaller than the sum of its proper divisors (57646656).

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

23191920 is a wasteful number, since it uses less digits than its factorization.

23191920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 23191920 is about 4815.7989991278. The cubic root of 23191920 is about 285.1755151568.

The spelling of 23191920 in words is "twenty-three million, one hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1193 1215 1296 1620 1944 2160 2386 2430 3240 3579 3888 4772 4860 5965 6480 7158 9544 9720 10737 11930 14316 17895 19088 19440 21474 23860 28632 32211 35790 42948 47720 53685 57264 64422 71580 85896 95440 96633 107370 128844 143160 161055 171792 193266 214740 257688 286320 289899 322110 386532 429480 483165 515376 579798 644220 773064 858960 966330 1159596 1288440 1449495 1546128 1932660 2319192 2576880 2898990 3865320 4638384 5797980 7730640 11595960 23191920