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23056020 = 223251359167
BaseRepresentation
bin101011111110…
…0111010010100
31121101100220200
41113330322110
521400243040
62142100500
7366654501
oct127747224
947340820
1023056020
1112018369
12787a730
134a13420
1430c24a8
152056630
hex15fce94

23056020 has 144 divisors (see below), whose sum is σ = 77051520. Its totient is φ = 5545728.

The previous prime is 23056003. The next prime is 23056021. The reversal of 23056020 is 2065032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23055984 and 23056002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23056021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137977 + ... + 138143.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 223056020 is an apocalyptic number.

23056020 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 23056020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760).

23056020 is an abundant number, since it is smaller than the sum of its proper divisors (53995500).

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

23056020 is a wasteful number, since it uses less digits than its factorization.

23056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23056020 is about 4801.6684600251. The cubic root of 23056020 is about 284.6173998097.

The spelling of 23056020 in words is "twenty-three million, fifty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 167 177 180 195 234 236 260 295 334 354 390 468 501 531 585 590 668 708 767 780 835 885 1002 1062 1170 1180 1503 1534 1670 1770 2004 2124 2171 2301 2340 2505 2655 3006 3068 3340 3540 3835 4342 4602 5010 5310 6012 6513 6903 7515 7670 8684 9204 9853 10020 10620 10855 11505 13026 13806 15030 15340 19539 19706 21710 23010 26052 27612 29559 30060 32565 34515 39078 39412 43420 46020 49265 59118 65130 69030 78156 88677 97695 98530 118236 128089 130260 138060 147795 177354 195390 197060 256178 295590 354708 384267 390780 443385 512356 591180 640445 768534 886770 1152801 1280890 1537068 1773540 1921335 2305602 2561780 3842670 4611204 5764005 7685340 11528010 23056020