Search a number
-
+
23836032 = 273411219
BaseRepresentation
bin101101011101…
…1010110000000
31122211222220000
41122323112000
522100223112
62210520000
7406413543
oct132732600
948758800
1023836032
1112500400
127b96000
134c2747c
14324685a
15215c7dc
hex16bb580

23836032 has 240 divisors, whose sum is σ = 82074300. Its totient is φ = 6842880.

The previous prime is 23836019. The next prime is 23836067. The reversal of 23836032 is 23063832.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 23835987 and 23836005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254519 + ... + 1254537.

Almost surely, 223836032 is an apocalyptic number.

23836032 is a gapful number since it is divisible by the number (22) 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 23836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41037150).

23836032 is an abundant number, since it is smaller than the sum of its proper divisors (58238268).

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

23836032 is a wasteful number, since it uses less digits than its factorization.

23836032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

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

The square root of 23836032 is about 4882.2158903514. The cubic root of 23836032 is about 287.7915157806.

Adding to 23836032 its reverse (23063832), we get a palindrome (46899864).

The spelling of 23836032 in words is "twenty-three million, eight hundred thirty-six thousand, thirty-two".