Search a number
-
+
24202080 = 2532575
BaseRepresentation
bin101110001010…
…0101101100000
31200112121000100
41130110231200
522143431310
62222422400
7412500000
oct134245540
950477010
1024202080
1112730421
128131a00
135024c76
143300000
1521d0ec0
hex1714b60

24202080 has 216 divisors, whose sum is σ = 96353712. Its totient is φ = 5531904.

The previous prime is 24202069. The next prime is 24202091. The reversal of 24202080 is 8020242.

It is an interprime number because it is at equal distance from previous prime (24202069) and next prime (24202091).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3457437 + ... + 3457443.

It is an arithmetic number, because the mean of its divisors is an integer number (446082).

Almost surely, 224202080 is an apocalyptic number.

24202080 is a gapful number since it is divisible by the number (20) 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 24202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48176856).

24202080 is an abundant number, since it is smaller than the sum of its proper divisors (72151632).

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

24202080 is an frugal number, since it uses more digits than its factorization.

24202080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24202080 is about 4919.5609560204. The cubic root of 24202080 is about 289.2572351610.

The spelling of 24202080 in words is "twenty-four million, two hundred two thousand, eighty".