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24402980 = 2257237673
BaseRepresentation
bin101110100010…
…1110000100100
31200220210121002
41131011300210
522221343410
62231012432
7414264500
oct135056044
950823532
1024402980
1112858358
12820a118
135095544
143353300
1522207a5
hex1745c24

24402980 has 72 divisors (see below), whose sum is σ = 61315128. Its totient is φ = 8128512.

The previous prime is 24402971. The next prime is 24402991. The reversal of 24402980 is 8920442.

It can be written as a sum of positive squares in 4 ways, for example, as 4831204 + 19571776 = 2198^2 + 4424^2 .

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 23 ways as a sum of consecutive naturals, for example, 35924 + ... + 36596.

It is an arithmetic number, because the mean of its divisors is an integer number (851599).

Almost surely, 224402980 is an apocalyptic number.

24402980 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 24402980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30657564).

24402980 is an abundant number, since it is smaller than the sum of its proper divisors (36912148).

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

24402980 is a wasteful number, since it uses less digits than its factorization.

24402980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 24402980 is about 4939.9372465650. The cubic root of 24402980 is about 290.0553996421.

The spelling of 24402980 in words is "twenty-four million, four hundred two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 673 740 980 1036 1295 1346 1813 2590 2692 3365 3626 4711 5180 6730 7252 9065 9422 13460 18130 18844 23555 24901 32977 36260 47110 49802 65954 94220 99604 124505 131908 164885 174307 249010 329770 348614 498020 659540 697228 871535 1220149 1743070 2440298 3486140 4880596 6100745 12201490 24402980