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23093424 = 2434103173
BaseRepresentation
bin101100000011…
…0000010110000
31121110021020000
41120012002300
521402442144
62142550000
7400201524
oct130060260
947407200
1023093424
1112043482
127898300
134a27463
1430d1d84
152062769
hex16060b0

23093424 has 100 divisors (see below), whose sum is σ = 67878096. Its totient is φ = 7579008.

The previous prime is 23093407. The next prime is 23093443. The reversal of 23093424 is 42439032.

It is a happy number.

23093424 is a `hidden beast` number, since 230 + 9 + 3 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133402 + ... + 133574.

Almost surely, 223093424 is an apocalyptic number.

23093424 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 23093424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33939048).

23093424 is an abundant number, since it is smaller than the sum of its proper divisors (44784672).

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

23093424 is a wasteful number, since it uses less digits than its factorization.

23093424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23093424 is about 4805.5617777737. The cubic root of 23093424 is about 284.7712291561.

The spelling of 23093424 in words is "twenty-three million, ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 173 206 216 309 324 346 412 432 519 618 648 692 824 927 1038 1236 1296 1384 1557 1648 1854 2076 2472 2768 2781 3114 3708 4152 4671 4944 5562 6228 7416 8304 8343 9342 11124 12456 14013 14832 16686 17819 18684 22248 24912 28026 33372 35638 37368 44496 53457 56052 66744 71276 74736 106914 112104 133488 142552 160371 213828 224208 285104 320742 427656 481113 641484 855312 962226 1282968 1443339 1924452 2565936 2886678 3848904 5773356 7697808 11546712 23093424