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23240 = 235783
BaseRepresentation
bin101101011001000
31011212202
411223020
51220430
6255332
7124520
oct55310
934782
1023240
1116508
1211548
13a769
148680
156d45
hex5ac8

23240 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 7872.

The previous prime is 23227. The next prime is 23251. The reversal of 23240 is 4232.

23240 = T48 + T49 + ... + T62.

It is a nialpdrome in base 8.

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, 239 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

223240 is an apocalyptic number.

23240 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 23240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

23240 is an abundant number, since it is smaller than the sum of its proper divisors (37240).

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

23240 is a wasteful number, since it uses less digits than its factorization.

23240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 23240 is about 152.4467120013. The cubic root of 23240 is about 28.5372448321.

Adding to 23240 its reverse (4232), we get a palindrome (27472).

It can be divided in two parts, 232 and 40, that added together give a palindrome (272).

The spelling of 23240 in words is "twenty-three thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240