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23868936 = 23327133643
BaseRepresentation
bin101101100001…
…1011000001000
31122220200000200
41123003120020
522102301221
62211332200
7406611510
oct133033010
948820020
1023868936
11125230a3
127bb1060
134c39440
143254840
152167426
hex16c3608

23868936 has 96 divisors (see below), whose sum is σ = 79584960. Its totient is φ = 6293376.

The previous prime is 23868931. The next prime is 23869031. The reversal of 23868936 is 63986832.

It is a super-2 number, since 2×238689362 = 1139452211544192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 23868891 and 23868900.

It is not an unprimeable number, because it can be changed into a prime (23868931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731 + ... + 8373.

It is an arithmetic number, because the mean of its divisors is an integer number (829010).

Almost surely, 223868936 is an apocalyptic number.

23868936 is a gapful number since it is divisible by the number (26) 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 23868936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39792480).

23868936 is an abundant number, since it is smaller than the sum of its proper divisors (55716024).

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

23868936 is a wasteful number, since it uses less digits than its factorization.

23868936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3668 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 23868936 is about 4885.5845095546. The cubic root of 23868936 is about 287.9238803460.

The spelling of 23868936 in words is "twenty-three million, eight hundred sixty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 3643 6552 7286 10929 14572 21858 25501 29144 32787 43716 47359 51002 65574 76503 87432 94718 102004 131148 142077 153006 189436 204008 229509 262296 284154 306012 331513 378872 426231 459018 568308 612024 663026 852462 918036 994539 1136616 1326052 1704924 1836072 1989078 2652104 2983617 3409848 3978156 5967234 7956312 11934468 23868936