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23628024 = 233475209
BaseRepresentation
bin101101000100…
…0100011111000
31122110102120000
41122020203320
522022044044
62202233000
7404556240
oct132104370
948412500
1023628024
11123790a2
127ab5760
134b838a4
1431d0b20
15211ad69
hex16888f8

23628024 has 80 divisors (see below), whose sum is σ = 75649200. Its totient is φ = 6749568.

The previous prime is 23628023. The next prime is 23628043. The reversal of 23628024 is 42082632.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23628023) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1932 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (945615).

Almost surely, 223628024 is an apocalyptic number.

23628024 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 23628024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37824600).

23628024 is an abundant number, since it is smaller than the sum of its proper divisors (52021176).

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

23628024 is a wasteful number, since it uses less digits than its factorization.

23628024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23628024 is about 4860.8665894056. The cubic root of 23628024 is about 286.9519196531.

The spelling of 23628024 in words is "twenty-three million, six hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 5209 10418 15627 20836 31254 36463 41672 46881 62508 72926 93762 109389 125016 140643 145852 187524 218778 281286 291704 328167 375048 421929 437556 562572 656334 843858 875112 984501 1125144 1312668 1687716 1969002 2625336 2953503 3375432 3938004 5907006 7876008 11814012 23628024