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23190840 = 23335109197
BaseRepresentation
bin101100001110…
…1110100111000
31121122012212000
41120131310320
521414101330
62145021000
7401055531
oct130356470
947565760
1023190840
11120aa692
127924760
134a5c8ba
143119688
152081560
hex161dd38

23190840 has 128 divisors (see below), whose sum is σ = 78408000. Its totient is φ = 6096384.

The previous prime is 23190833. The next prime is 23190841. The reversal of 23190840 is 4809132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23190841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 117622 + ... + 117818.

Almost surely, 223190840 is an apocalyptic number.

23190840 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 23190840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204000).

23190840 is an abundant number, since it is smaller than the sum of its proper divisors (55217160).

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

23190840 is a wasteful number, since it uses less digits than its factorization.

23190840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23190840 is about 4815.6868668966. The cubic root of 23190840 is about 285.1710884091.

Adding to 23190840 its reverse (4809132), we get a palindrome (27999972).

The spelling of 23190840 in words is "twenty-three million, one hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 197 216 218 270 327 360 394 436 540 545 591 654 788 872 981 985 1080 1090 1182 1308 1576 1635 1773 1962 1970 2180 2364 2616 2943 2955 3270 3546 3924 3940 4360 4728 4905 5319 5886 5910 6540 7092 7848 7880 8865 9810 10638 11772 11820 13080 14184 14715 17730 19620 21276 21473 23544 23640 26595 29430 35460 39240 42552 42946 53190 58860 64419 70920 85892 106380 107365 117720 128838 171784 193257 212760 214730 257676 322095 386514 429460 515352 579771 644190 773028 858920 966285 1159542 1288380 1546056 1932570 2319084 2576760 2898855 3865140 4638168 5797710 7730280 11595420 23190840