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24022980 = 223554943
BaseRepresentation
bin101101110100…
…0111111000100
31200012111100000
41123220333010
522122213410
62214521300
7411122562
oct133507704
950174300
1024022980
1112618903
128066230
134c915a7
143294a32
152197dc0
hex16e8fc4

24022980 has 72 divisors (see below), whose sum is σ = 75583872. Its totient is φ = 6404832.

The previous prime is 24022963. The next prime is 24022981. The reversal of 24022980 is 8922042.

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

It is not an unprimeable number, because it can be changed into a prime (24022981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2389 + ... + 7331.

It is an arithmetic number, because the mean of its divisors is an integer number (1049776).

Almost surely, 224022980 is an apocalyptic number.

24022980 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 24022980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37791936).

24022980 is an abundant number, since it is smaller than the sum of its proper divisors (51560892).

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

24022980 is a wasteful number, since it uses less digits than its factorization.

24022980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 24022980 is about 4901.3243108368. The cubic root of 24022980 is about 288.5419482910.

It can be divided in two parts, 240 and 22980, that added together give a triangular number (23220 = T215).

The spelling of 24022980 in words is "twenty-four million, twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 4943 9886 14829 19772 24715 29658 44487 49430 59316 74145 88974 98860 133461 148290 177948 222435 266922 296580 400383 444870 533844 667305 800766 889740 1201149 1334610 1601532 2001915 2402298 2669220 4003830 4804596 6005745 8007660 12011490 24022980