Search a number
-
+
1056480192 = 2633611389
BaseRepresentation
bin111110111110001…
…001101111000000
32201121221202101000
4332332021233000
54130424331232
6252500012000
735115635115
oct7676115700
92647852330
101056480192
114a23a0229
12255991000
1313ab54011
14a045090c
1562b3b27c
hex3ef89bc0

1056480192 has 56 divisors (see below), whose sum is σ = 3105861200. Its totient is φ = 352159488.

The previous prime is 1056480127. The next prime is 1056480209. The reversal of 1056480192 is 2910846501.

1056480192 is a `hidden beast` number, since 1 + 0 + 5 + 648 + 0 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×10564801922 = 2232300792176713728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303967 + ... + 307422.

Almost surely, 21056480192 is an apocalyptic number.

1056480192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1056480192 is an abundant number, since it is smaller than the sum of its proper divisors (2049381008).

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

1056480192 is an equidigital number, since it uses as much as digits as its factorization.

1056480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611410 (or 611394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1056480192 is about 32503.5412224576. The cubic root of 1056480192 is about 1018.4830044817.

The spelling of 1056480192 in words is "one billion, fifty-six million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 611389 1222778 1834167 2445556 3668334 4891112 5502501 7336668 9782224 11005002 14673336 16507503 19564448 22010004 29346672 33015006 39128896 44020008 58693344 66030012 88040016 117386688 132060024 176080032 264120048 352160064 528240096 1056480192