Search a number
-
+
270536704 = 2122572
BaseRepresentation
bin10000001000000…
…001000000000000
3200212001200120221
4100020001000000
51023224133304
642502312424
76463344514
oct2010010000
9625050527
10270536704
11129790259
1276728714
13440831b9
1427d04144
1518b3e054
hex10201000

270536704 has 39 divisors (see below), whose sum is σ = 543120637. Its totient is φ = 134742016.

The previous prime is 270536683. The next prime is 270536713. The reversal of 270536704 is 407635072.

It is a happy number.

The square root of 270536704 is 16448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 266342400 + 4194304 = 16320^2 + 2048^2 .

It is a super-2 number, since 2×2705367042 = 146380216422367232, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 270536704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1052544 + ... + 1052800.

Almost surely, 2270536704 is an apocalyptic number.

270536704 is the 16448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270536704

270536704 is an abundant number, since it is smaller than the sum of its proper divisors (272583933).

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

270536704 is an frugal number, since it uses more digits than its factorization.

270536704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The cubic root of 270536704 is about 646.7583804923.

The spelling of 270536704 in words is "two hundred seventy million, five hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 257 512 514 1024 1028 2048 2056 4096 4112 8224 16448 32896 65792 66049 131584 132098 263168 264196 526336 528392 1052672 1056784 2113568 4227136 8454272 16908544 33817088 67634176 135268352 270536704