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24740680 = 2356131009
BaseRepresentation
bin101111001100…
…0001101001000
31201112221211111
41132120031020
522313200210
62242140104
7420202156
oct136301510
951487744
1024740680
1112a69048
128351634
135183173
1434003d6
15228a88a
hex1798348

24740680 has 32 divisors (see below), whose sum is σ = 55812600. Its totient is φ = 9870336.

The previous prime is 24740669. The next prime is 24740687. The reversal of 24740680 is 8604742.

It can be written as a sum of positive squares in 4 ways, for example, as 8916196 + 15824484 = 2986^2 + 3978^2 .

It is a super-2 number, since 2×247406802 = 1224202493724800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (24740687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24016 + ... + 25024.

Almost surely, 224740680 is an apocalyptic number.

24740680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24740680 is an abundant number, since it is smaller than the sum of its proper divisors (31071920).

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

24740680 is a wasteful number, since it uses less digits than its factorization.

24740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 24740680 is about 4974.0004020909. Note that the first 3 decimals coincide. The cubic root of 24740680 is about 291.3872495009.

The spelling of 24740680 in words is "twenty-four million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 613 1009 1226 2018 2452 3065 4036 4904 5045 6130 8072 10090 12260 20180 24520 40360 618517 1237034 2474068 3092585 4948136 6185170 12370340 24740680