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270640400 = 2452676601
BaseRepresentation
bin10000001000011…
…010010100010000
3200212020221211112
4100020122110100
51023240443100
642504432452
76464256032
oct2010322420
9625227745
10270640400
11129851158
1276778728
13440bb464
1427d2dc52
1518b5eb35
hex1021a510

270640400 has 30 divisors (see below), whose sum is σ = 650214522. Its totient is φ = 108256000.

The previous prime is 270640399. The next prime is 270640417. The reversal of 270640400 is 4046072.

It can be written as a sum of positive squares in 3 ways, for example, as 12588304 + 258052096 = 3548^2 + 16064^2 .

It is a super-2 number, since 2×2706404002 = 146492452224320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 337901 + ... + 338700.

Almost surely, 2270640400 is an apocalyptic number.

270640400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270640400 is an abundant number, since it is smaller than the sum of its proper divisors (379574122).

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

270640400 is a wasteful number, since it uses less digits than its factorization.

270640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676619 (or 676608 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 270640400 is about 16451.1519353509. The cubic root of 270640400 is about 646.8410035266.

Adding to 270640400 its reverse (4046072), we get a palindrome (274686472).

The spelling of 270640400 in words is "two hundred seventy million, six hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 676601 1353202 2706404 3383005 5412808 6766010 10825616 13532020 16915025 27064040 33830050 54128080 67660100 135320200 270640400