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270928400 = 2452677321
BaseRepresentation
bin10000001001100…
…000101000010000
3200212210120220012
4100021200220100
51023324202100
642514534052
76466565501
oct2011405020
9625716805
10270928400
11129a28576
1276897328
134418c582
1427da6ba8
1518bba135
hex10260a10

270928400 has 30 divisors (see below), whose sum is σ = 650906442. Its totient is φ = 108371200.

The previous prime is 270928381. The next prime is 270928409. The reversal of 270928400 is 4829072.

It can be written as a sum of positive squares in 3 ways, for example, as 56130064 + 214798336 = 7492^2 + 14656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270928409) by changing a digit.

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, 338261 + ... + 339060.

Almost surely, 2270928400 is an apocalyptic number.

270928400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270928400 is an abundant number, since it is smaller than the sum of its proper divisors (379978042).

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

270928400 is a wasteful number, since it uses less digits than its factorization.

270928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677339 (or 677328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 270928400 is about 16459.9027943667. The cubic root of 270928400 is about 647.0703658936.

The spelling of 270928400 in words is "two hundred seventy million, nine hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 677321 1354642 2709284 3386605 5418568 6773210 10837136 13546420 16933025 27092840 33866050 54185680 67732100 135464200 270928400