Search a number
-
+
270163072 = 272973997
BaseRepresentation
bin10000000110100…
…101110010000000
3200211100201001201
4100012211302000
51023130204242
642450310544
76460230304
oct2006456200
9624321051
10270163072
11129555573
1276588454
1343c8210a
1427c47d04
1518ab84b7
hex101a5c80

270163072 has 64 divisors (see below), whose sum is σ = 564967800. Its totient is φ = 128507904.

The previous prime is 270163067. The next prime is 270163073. The reversal of 270163072 is 270361072.

It can be written as a sum of positive squares in 4 ways, for example, as 264517696 + 5645376 = 16264^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 270163072.

It is not an unprimeable number, because it can be changed into a prime (270163073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270478 + ... + 271474.

Almost surely, 2270163072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282483900).

270163072 is an abundant number, since it is smaller than the sum of its proper divisors (294804728).

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

270163072 is an equidigital number, since it uses as much as digits as its factorization.

270163072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 270163072 is about 16436.6380990761. The cubic root of 270163072 is about 646.4605022936.

The spelling of 270163072 in words is "two hundred seventy million, one hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 292 464 584 928 997 1168 1856 1994 2117 2336 3712 3988 4234 4672 7976 8468 9344 15952 16936 28913 31904 33872 57826 63808 67744 72781 115652 127616 135488 145562 231304 270976 291124 462608 582248 925216 1164496 1850432 2110649 2328992 3700864 4221298 4657984 8442596 9315968 16885192 33770384 67540768 135081536 270163072