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20496400 = 245251241
BaseRepresentation
bin100111000110…
…0000000010000
31102120022202221
41032030000100
520221341100
62011150424
7336134161
oct116140020
942508687
1020496400
111062a281
126a45414
134328362
142a17768
151bed01a
hex138c010

20496400 has 30 divisors (see below), whose sum is σ = 49243562. Its totient is φ = 8198400.

The previous prime is 20496397. The next prime is 20496419. The reversal of 20496400 is 469402.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 19642624 = 924^2 + 4432^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25221 + ... + 26020.

Almost surely, 220496400 is an apocalyptic number.

20496400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20496400 is an abundant number, since it is smaller than the sum of its proper divisors (28747162).

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

20496400 is a wasteful number, since it uses less digits than its factorization.

20496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51259 (or 51248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 20496400 is about 4527.2949981197. The cubic root of 20496400 is about 273.6691622059.

The spelling of 20496400 in words is "twenty million, four hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 51241 102482 204964 256205 409928 512410 819856 1024820 1281025 2049640 2562050 4099280 5124100 10248200 20496400