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1104971136 = 2735354293
BaseRepresentation
bin100000111011100…
…1000010110000000
32212000012100102220
41001313020112000
54230333034021
6301351211040
736245046123
oct10167102600
92760170386
101104971136
11517800195
1226a076a80
13147c01599
14a6a743ba
1567018cc6
hex41dc8580

1104971136 has 64 divisors (see below), whose sum is σ = 2990513520. Its totient is φ = 361367552.

The previous prime is 1104971123. The next prime is 1104971159. The reversal of 1104971136 is 6311794011.

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

It is a super-2 number, since 2×11049711362 = 2441922422786260992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1104971097 and 1104971106.

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, 6795 + ... + 47498.

Almost surely, 21104971136 is an apocalyptic number.

1104971136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495256760).

1104971136 is an abundant number, since it is smaller than the sum of its proper divisors (1885542384).

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

1104971136 is an equidigital number, since it uses as much as digits as its factorization.

1104971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54363 (or 54351 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1104971136 is about 33241.1061187801. The cubic root of 1104971136 is about 1033.8328105835.

The spelling of 1104971136 in words is "one billion, one hundred four million, nine hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 54293 108586 162879 217172 325758 434344 651516 868688 1303032 1737376 2606064 2877529 3474752 5212128 5755058 6949504 8632587 10424256 11510116 17265174 20848512 23020232 34530348 46040464 69060696 92080928 138121392 184161856 276242784 368323712 552485568 1104971136