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23020320 = 2535199241
BaseRepresentation
bin101011111010…
…0001100100000
31121022112221110
41113310030200
521343122240
62141223320
7366445431
oct127641440
947275843
1023020320
1111aa3564
127861b40
134a000bb
1430b3488
15204ac80
hex15f4320

23020320 has 96 divisors (see below), whose sum is σ = 73180800. Its totient is φ = 6082560.

The previous prime is 23020307. The next prime is 23020337. The reversal of 23020320 is 2302032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23020296 and 23020305.

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 15 ways as a sum of consecutive naturals, for example, 95400 + ... + 95640.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 223020320 is an apocalyptic number.

23020320 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 23020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

23020320 is an abundant number, since it is smaller than the sum of its proper divisors (50160480).

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

23020320 is a wasteful number, since it uses less digits than its factorization.

23020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23020320 is about 4797.9495620525. The cubic root of 23020320 is about 284.4704231553.

Adding to 23020320 its reverse (2302032), we get a palindrome (25322352).

The spelling of 23020320 in words is "twenty-three million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 241 398 480 482 597 723 796 964 995 1194 1205 1446 1592 1928 1990 2388 2410 2892 2985 3184 3615 3856 3980 4776 4820 5784 5970 6368 7230 7712 7960 9552 9640 11568 11940 14460 15920 19104 19280 23136 23880 28920 31840 38560 47760 47959 57840 95520 95918 115680 143877 191836 239795 287754 383672 479590 575508 719385 767344 959180 1151016 1438770 1534688 1918360 2302032 2877540 3836720 4604064 5755080 7673440 11510160 23020320