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1056397104 = 243271048013
BaseRepresentation
bin111110111101110…
…101011100110000
32201121210112101200
4332331311130300
54130414201404
6252454131200
735115140640
oct7675653460
92647715350
101056397104
114a2343864
12255950b00
1313ab25259
14a042c520
1562b21839
hex3ef75730

1056397104 has 60 divisors (see below), whose sum is σ = 3378797136. Its totient is φ = 301827456.

The previous prime is 1056397091. The next prime is 1056397109. The reversal of 1056397104 is 4017936501.

1056397104 is a `hidden beast` number, since 1 + 0 + 5 + 639 + 7 + 10 + 4 = 666.

It is a super-2 number, since 2×10563971042 = 2231949682679173632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056397109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522999 + ... + 525014.

Almost surely, 21056397104 is an apocalyptic number.

1056397104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1056397104 is an abundant number, since it is smaller than the sum of its proper divisors (2322400032).

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

1056397104 is a wasteful number, since it uses less digits than its factorization.

1056397104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048034 (or 1048025 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1056397104 is about 32502.2630596702. The cubic root of 1056397104 is about 1018.4563038914.

It can be divided in two parts, 1056397 and 104, that added together give a palindrome (1056501).

The spelling of 1056397104 in words is "one billion, fifty-six million, three hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1048013 2096026 3144039 4192052 6288078 7336091 8384104 9432117 12576156 14672182 16768208 18864234 22008273 25152312 29344364 37728468 44016546 50304624 58688728 66024819 75456936 88033092 117377456 132049638 150913872 176066184 264099276 352132368 528198552 1056397104