Search a number
-
+
24290112 = 2637113153
BaseRepresentation
bin101110010101…
…0001101000000
31200201001202210
41130222031000
522204240422
62224342120
7413314440
oct134521500
950631683
1024290112
1112790580
128174940
135056062
143324120
1521ec10c
hex172a340

24290112 has 224 divisors, whose sum is σ = 84271104. Its totient is φ = 5990400.

The previous prime is 24290069. The next prime is 24290131. The reversal of 24290112 is 21109242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 458278 + ... + 458330.

Almost surely, 224290112 is an apocalyptic number.

24290112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 4928×4929.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42135552).

24290112 is an abundant number, since it is smaller than the sum of its proper divisors (59980992).

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

24290112 is a wasteful number, since it uses less digits than its factorization.

24290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 24290112 is about 4928.4999746373. The cubic root of 24290112 is about 289.6075229775.

Adding to 24290112 its reverse (21109242), we get a palindrome (45399354).

The spelling of 24290112 in words is "twenty-four million, two hundred ninety thousand, one hundred twelve".