Search a number
-
+
270966816 = 2533313619
BaseRepresentation
bin10000001001101…
…010000000100000
3200212212112121000
4100021222000200
51023331414231
642515432000
76500115501
oct2011520040
9625775530
10270966816
11129a5441a
12768b5600
13441a3bc3
1427db6ba8
1518bc66e6
hex1026a020

270966816 has 48 divisors (see below), whose sum is σ = 790322400. Its totient is φ = 90321984.

The previous prime is 270966737. The next prime is 270966821. The reversal of 270966816 is 618669072.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 155946 + ... + 157673.

It is an arithmetic number, because the mean of its divisors is an integer number (16465050).

Almost surely, 2270966816 is an apocalyptic number.

It is an amenable number.

270966816 is an abundant number, since it is smaller than the sum of its proper divisors (519355584).

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

270966816 is a wasteful number, since it uses less digits than its factorization.

270966816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313638 (or 313624 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 270966816 is about 16461.0697100766. The cubic root of 270966816 is about 647.1009479962.

The spelling of 270966816 in words is "two hundred seventy million, nine hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 313619 627238 940857 1254476 1881714 2508952 2822571 3763428 5017904 5645142 7526856 8467713 10035808 11290284 15053712 16935426 22580568 30107424 33870852 45161136 67741704 90322272 135483408 270966816