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1104106272 = 25338330029
BaseRepresentation
bin100000111001111…
…0101001100100000
32211221120102001220
41001303311030200
54230122400042
6301320455040
736234514503
oct10163651440
92757512056
101104106272
1151726a425
1226991a480
1314798aa29
14a68cb13a
1566de78ec
hex41cf5320

1104106272 has 48 divisors (see below), whose sum is σ = 2905943040. Its totient is φ = 367062272.

The previous prime is 1104106253. The next prime is 1104106273. The reversal of 1104106272 is 2726014011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11041062723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1104106273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21754 + ... + 51782.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 21104106272 is an apocalyptic number.

1104106272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1104106272 is an abundant number, since it is smaller than the sum of its proper divisors (1801836768).

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

1104106272 is a wasteful number, since it uses less digits than its factorization.

1104106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30425 (or 30417 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1104106272 is about 33228.0946188613. The cubic root of 1104106272 is about 1033.5630122361.

The spelling of 1104106272 in words is "one billion, one hundred four million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 30029 36768 60058 90087 120116 180174 240232 360348 480464 720696 960928 1441392 2882784 11501107 23002214 34503321 46004428 69006642 92008856 138013284 184017712 276026568 368035424 552053136 1104106272