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1106055936 = 2832480059
BaseRepresentation
bin100000111101101…
…0001001100000000
32212002020110111200
41001323101030000
54231122242221
6301430341200
736260214606
oct10173211400
92762213450
101106055936
11518381217
1226a4ba800
131481c128b
14a6c77876
1567180426
hex41ed1300

1106055936 has 54 divisors (see below), whose sum is σ = 3189038580. Its totient is φ = 368684544.

The previous prime is 1106055919. The next prime is 1106055941. The reversal of 1106055936 is 6395506011.

1106055936 is a `hidden beast` number, since 1 + 1 + 0 + 60 + 5 + 593 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1106055936.

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 5 ways as a sum of consecutive naturals, for example, 237726 + ... + 242333.

It is an arithmetic number, because the mean of its divisors is an integer number (59056270).

Almost surely, 21106055936 is an apocalyptic number.

1106055936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1106055936 is an abundant number, since it is smaller than the sum of its proper divisors (2082982644).

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

1106055936 is an equidigital number, since it uses as much as digits as its factorization.

1106055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480081 (or 480064 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1106055936 is about 33257.4192624744. The cubic root of 1106055936 is about 1034.1710200283.

The spelling of 1106055936 in words is "one billion, one hundred six million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 480059 960118 1440177 1920236 2880354 3840472 4320531 5760708 7680944 8641062 11521416 15361888 17282124 23042832 30723776 34564248 46085664 61447552 69128496 92171328 122895104 138256992 184342656 276513984 368685312 553027968 1106055936