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23241504 = 25311131693
BaseRepresentation
bin101100010101…
…0001100100000
31121201210100110
41120222030200
521422212004
62150051320
7401356326
oct130521440
947653313
1023241504
1112134760
127949b40
134a79990
14312dd16
152091589
hex162a320

23241504 has 96 divisors (see below), whose sum is σ = 71717184. Its totient is φ = 6497280.

The previous prime is 23241497. The next prime is 23241509. The reversal of 23241504 is 40514232.

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

It is not an unprimeable number, because it can be changed into a prime (23241509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12882 + ... + 14574.

It is an arithmetic number, because the mean of its divisors is an integer number (747054).

Almost surely, 223241504 is an apocalyptic number.

23241504 is a gapful number since it is divisible by the number (24) 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 23241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35858592).

23241504 is an abundant number, since it is smaller than the sum of its proper divisors (48475680).

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

23241504 is a wasteful number, since it uses less digits than its factorization.

23241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 23241504 is about 4820.9443058388. The cubic root of 23241504 is about 285.3786042435.

Adding to 23241504 its reverse (40514232), we get a palindrome (63755736).

It can be divided in two parts, 2324 and 1504, that added together give a triangular number (3828 = T87).

The spelling of 23241504 in words is "twenty-three million, two hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1693 1716 2288 3386 3432 4576 5079 6772 6864 10158 13544 13728 18623 20316 22009 27088 37246 40632 44018 54176 55869 66027 74492 81264 88036 111738 132054 148984 162528 176072 223476 242099 264108 297968 352144 446952 484198 528216 595936 704288 726297 893904 968396 1056432 1452594 1787808 1936792 2112864 2905188 3873584 5810376 7747168 11620752 23241504