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24106980 = 22353710859
BaseRepresentation
bin101101111110…
…1011111100100
31200100202120010
41123331133210
522132410410
62220410220
7411622512
oct133753744
950322503
1024106980
1112675a27
1280a6970
134cc08b1
1432b74b2
1521b2c20
hex16fd7e4

24106980 has 48 divisors (see below), whose sum is σ = 69330240. Its totient is φ = 6254208.

The previous prime is 24106963. The next prime is 24107063. The reversal of 24106980 is 8960142.

It is a super-2 number, since 2×241069802 = 1162292969440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3210 + ... + 7649.

It is an arithmetic number, because the mean of its divisors is an integer number (1444380).

Almost surely, 224106980 is an apocalyptic number.

24106980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24106980 is an abundant number, since it is smaller than the sum of its proper divisors (45223260).

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

24106980 is a wasteful number, since it uses less digits than its factorization.

24106980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 24106980 is about 4909.8859457222. The cubic root of 24106980 is about 288.8778673200.

The spelling of 24106980 in words is "twenty-four million, one hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 10859 21718 32577 43436 54295 65154 108590 130308 162885 217180 325770 401783 651540 803566 1205349 1607132 2008915 2410698 4017830 4821396 6026745 8035660 12053490 24106980