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1104521472 = 28324571049
BaseRepresentation
bin100000111010101…
…1010100100000000
32211222100111121200
41001311122210000
54230224141342
6301333421200
736241164135
oct10165324400
92758314550
101104521472
1151752336a
12269a9a800
13147aa4a02
14a699858c
1566e7a94c
hex41d5a900

1104521472 has 108 divisors (see below), whose sum is σ = 3194618700. Its totient is φ = 367017984.

The previous prime is 1104521461. The next prime is 1104521491. The reversal of 1104521472 is 2741254011.

It can be written as a sum of positive squares in 2 ways, for example, as 979439616 + 125081856 = 31296^2 + 11184^2 .

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 11 ways as a sum of consecutive naturals, for example, 1052404 + ... + 1053452.

Almost surely, 21104521472 is an apocalyptic number.

1104521472 is a gapful number since it is divisible by the number (12) 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 1104521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597309350).

1104521472 is an abundant number, since it is smaller than the sum of its proper divisors (2090097228).

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

1104521472 is a wasteful number, since it uses less digits than its factorization.

1104521472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1104521472 is about 33234.3417566830. The cubic root of 1104521472 is about 1033.6925533840.

Adding to 1104521472 its reverse (2741254011), we get a palindrome (3845775483).

The spelling of 1104521472 in words is "one billion, one hundred four million, five hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 457 576 768 914 1049 1152 1371 1828 2098 2304 2742 3147 3656 4113 4196 5484 6294 7312 8226 8392 9441 10968 12588 14624 16452 16784 18882 21936 25176 29248 32904 33568 37764 43872 50352 58496 65808 67136 75528 87744 100704 116992 131616 134272 151056 175488 201408 263232 268544 302112 350976 402816 479393 526464 604224 805632 958786 1052928 1208448 1438179 1917572 2416896 2876358 3835144 4314537 5752716 7670288 8629074 11505432 15340576 17258148 23010864 30681152 34516296 46021728 61362304 69032592 92043456 122724608 138065184 184086912 276130368 368173824 552260736 1104521472