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23263120 = 2452347269
BaseRepresentation
bin101100010111…
…1011110010000
31121202220000001
41120233132100
521423404440
62150335344
7401506336
oct130573620
947686001
1023263120
1112149a21
12795a554
134a8677a
143137b56
152097b9a
hex162f790

23263120 has 80 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 8678912.

The previous prime is 23263117. The next prime is 23263151. The reversal of 23263120 is 2136232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86346 + ... + 86614.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 223263120 is an apocalyptic number.

23263120 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 23263120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

23263120 is an abundant number, since it is smaller than the sum of its proper divisors (34590320).

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

23263120 is a wasteful number, since it uses less digits than its factorization.

23263120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 23263120 is about 4823.1856692439. The cubic root of 23263120 is about 285.4670499319.

Adding to 23263120 its reverse (2136232), we get a palindrome (25399352).

The spelling of 23263120 in words is "twenty-three million, two hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 269 368 376 460 470 538 752 920 940 1076 1081 1345 1840 1880 2152 2162 2690 3760 4304 4324 5380 5405 6187 8648 10760 10810 12374 12643 17296 21520 21620 24748 25286 30935 43240 49496 50572 61870 63215 86480 98992 101144 123740 126430 202288 247480 252860 290789 494960 505720 581578 1011440 1163156 1453945 2326312 2907890 4652624 5815780 11631560 23263120