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20542600 = 2352137901
BaseRepresentation
bin100111001011…
…1010010001000
31102122200011001
41032113102020
520224330400
62012144344
7336415651
oct116272210
942580131
1020542600
1110660a61
126a680b4
1343433b0
142a2a528
151c0ba6a
hex1397488

20542600 has 48 divisors (see below), whose sum is σ = 51442020. Its totient is φ = 7584000.

The previous prime is 20542589. The next prime is 20542603. The reversal of 20542600 is 624502.

It can be written as a sum of positive squares in 6 ways, for example, as 5503716 + 15038884 = 2346^2 + 3878^2 .

It is not an unprimeable number, because it can be changed into a prime (20542603) 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 11 ways as a sum of consecutive naturals, for example, 1351 + ... + 6550.

Almost surely, 220542600 is an apocalyptic number.

20542600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20542600 is an abundant number, since it is smaller than the sum of its proper divisors (30899420).

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

20542600 is a wasteful number, since it uses less digits than its factorization.

20542600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 20542600 is about 4532.3945106312. The cubic root of 20542600 is about 273.8746296286.

The spelling of 20542600 in words is "twenty million, five hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 7901 15802 31604 39505 63208 79010 102713 158020 197525 205426 316040 395050 410852 513565 790100 821704 1027130 1580200 2054260 2567825 4108520 5135650 10271300 20542600