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23967468 = 223373647
BaseRepresentation
bin101101101101…
…1011011101100
31200002200012000
41123123123230
522113424333
62213412300
7410502000
oct133333354
950080160
1023967468
1112590128
12803a090
134c72245
14327c700
152186713
hex16db6ec

23967468 has 96 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 6837264.

The previous prime is 23967443. The next prime is 23967481. The reversal of 23967468 is 86476932.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36721 + ... + 37367.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 223967468 is an apocalyptic number.

23967468 is a gapful number since it is divisible by the number (28) 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 23967468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

23967468 is an abundant number, since it is smaller than the sum of its proper divisors (48608532).

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

23967468 is a wasteful number, since it uses less digits than its factorization.

23967468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 23967468 is about 4895.6580762958. The cubic root of 23967468 is about 288.3195238429.

The spelling of 23967468 in words is "twenty-three million, nine hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 647 686 756 882 1029 1294 1323 1372 1764 1941 2058 2588 2646 3087 3882 4116 4529 5292 5823 6174 7764 9058 9261 11646 12348 13587 17469 18116 18522 23292 27174 31703 34938 37044 40761 54348 63406 69876 81522 95109 122283 126812 163044 190218 221921 244566 285327 380436 443842 489132 570654 665763 855981 887684 1141308 1331526 1711962 1997289 2663052 3423924 3994578 5991867 7989156 11983734 23967468