Search a number
-
+
24189680 = 245674513
BaseRepresentation
bin101110001000…
…1101011110000
31200111222000002
41130101223300
522143032210
62222245132
7412415564
oct134215360
950458002
1024189680
1112722079
1281267a8
13501c428
1432d96a4
1521cc4a5
hex1711af0

24189680 has 40 divisors (see below), whose sum is σ = 57093072. Its totient is φ = 9529344.

The previous prime is 24189667. The next prime is 24189701. The reversal of 24189680 is 8698142.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3104 + ... + 7616.

Almost surely, 224189680 is an apocalyptic number.

24189680 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 24189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546536).

24189680 is an abundant number, since it is smaller than the sum of its proper divisors (32903392).

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

24189680 is a wasteful number, since it uses less digits than its factorization.

24189680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 24189680 is about 4918.3005194884. The cubic root of 24189680 is about 289.2078261508.

The spelling of 24189680 in words is "twenty-four million, one hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4513 5360 9026 18052 22565 36104 45130 72208 90260 180520 302371 361040 604742 1209484 1511855 2418968 3023710 4837936 6047420 12094840 24189680