Search a number
-
+
270456128 = 2617331751
BaseRepresentation
bin10000000111101…
…101010101000000
3200211220121001122
4100013231111000
51023214044003
642500451412
76462560555
oct2007552500
9624817048
10270456128
11129735768
12766a9b68
1344055617
1427cc2a2c
1518b25238
hex101ed540

270456128 has 56 divisors (see below), whose sum is σ = 570731904. Its totient is φ = 126720000.

The previous prime is 270456107. The next prime is 270456133. The reversal of 270456128 is 821654072.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359753 + ... + 360503.

Almost surely, 2270456128 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 270456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285365952).

270456128 is an abundant number, since it is smaller than the sum of its proper divisors (300275776).

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

270456128 is a wasteful number, since it uses less digits than its factorization.

270456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 270456128 is about 16445.5504012484. The cubic root of 270456128 is about 646.6941644641.

The spelling of 270456128 in words is "two hundred seventy million, four hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 331 544 662 751 1088 1324 1502 2648 3004 5296 5627 6008 10592 11254 12016 12767 21184 22508 24032 25534 45016 48064 51068 90032 102136 180064 204272 248581 360128 408544 497162 817088 994324 1988648 3977296 4225877 7954592 8451754 15909184 16903508 33807016 67614032 135228064 270456128