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23105920 = 27579457
BaseRepresentation
bin101100000100…
…1000110000000
31121110220100211
41120021012000
521403342140
62143123504
7400253125
oct130110600
947426324
1023105920
1112051902
1278a3594
134a30056
1430d674c
1520662ea
hex1609180

23105920 has 64 divisors (see below), whose sum is σ = 56059200. Its totient is φ = 9105408.

The previous prime is 23105909. The next prime is 23105947. The reversal of 23105920 is 2950132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 23105891 and 23105900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50332 + ... + 50788.

It is an arithmetic number, because the mean of its divisors is an integer number (875925).

Almost surely, 223105920 is an apocalyptic number.

23105920 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 23105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029600).

23105920 is an abundant number, since it is smaller than the sum of its proper divisors (32953280).

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

23105920 is an equidigital number, since it uses as much as digits as its factorization.

23105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 23105920 is about 4806.8617621063. The cubic root of 23105920 is about 284.8225837413.

It can be divided in two parts, 23105 and 920, that added together give a square (24025 = 1552).

The spelling of 23105920 in words is "twenty-three million, one hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 457 632 640 790 914 1264 1580 1828 2285 2528 3160 3656 4570 5056 6320 7312 9140 10112 12640 14624 18280 25280 29248 36103 36560 50560 58496 72206 73120 144412 146240 180515 288824 292480 361030 577648 722060 1155296 1444120 2310592 2888240 4621184 5776480 11552960 23105920