Search a number
-
+
24834940 = 22513234153
BaseRepresentation
bin101111010111…
…1001101111100
31201201202010121
41132233031330
522324204230
62244144324
7421044034
oct136571574
951652117
1024834940
1113022949
1283980a4
1351b7040
1434268c4
1522a877a
hex17af37c

24834940 has 48 divisors (see below), whose sum is σ = 58621248. Its totient is φ = 8769024.

The previous prime is 24834923. The next prime is 24834961. The reversal of 24834940 is 4943842.

It is a junction number, because it is equal to n+sod(n) for n = 24834896 and 24834905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904 + ... + 8056.

It is an arithmetic number, because the mean of its divisors is an integer number (1221276).

Almost surely, 224834940 is an apocalyptic number.

24834940 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 24834940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29310624).

24834940 is an abundant number, since it is smaller than the sum of its proper divisors (33786308).

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

24834940 is a wasteful number, since it uses less digits than its factorization.

24834940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 24834940 is about 4983.4666648830. The cubic root of 24834940 is about 291.7568345256.

The spelling of 24834940 in words is "twenty-four million, eight hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 4153 5980 8306 16612 20765 41530 53989 83060 95519 107978 191038 215956 269945 382076 477595 539890 955190 1079780 1241747 1910380 2483494 4966988 6208735 12417470 24834940