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24208020 = 22325134489
BaseRepresentation
bin101110001011…
…0001010010100
31200112220011100
41130112022110
522144124040
62222510100
7412523214
oct134261224
950486140
1024208020
1112734931
128135330
135027895
143302244
1521d2b30
hex1716294

24208020 has 36 divisors (see below), whose sum is σ = 73431540. Its totient is φ = 6455424.

The previous prime is 24207979. The next prime is 24208031. The reversal of 24208020 is 2080242.

It can be written as a sum of positive squares in 2 ways, for example, as 13749264 + 10458756 = 3708^2 + 3234^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24207984 and 24208002.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 67065 + ... + 67424.

It is an arithmetic number, because the mean of its divisors is an integer number (2039765).

Almost surely, 224208020 is an apocalyptic number.

24208020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24208020 is an abundant number, since it is smaller than the sum of its proper divisors (49223520).

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

24208020 is a wasteful number, since it uses less digits than its factorization.

24208020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134504 (or 134499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24208020 is about 4920.1646313919. The cubic root of 24208020 is about 289.2808976924.

Adding to 24208020 its reverse (2080242), we get a palindrome (26288262).

It can be divided in two parts, 2420 and 8020, that added together give a triangular number (10440 = T144).

The spelling of 24208020 in words is "twenty-four million, two hundred eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 134489 268978 403467 537956 672445 806934 1210401 1344890 1613868 2017335 2420802 2689780 4034670 4841604 6052005 8069340 12104010 24208020