Search a number
-
+
1104617472 = 213376421
BaseRepresentation
bin100000111010111…
…0010000000000000
32211222112101022020
41001311302000000
54230240224342
6301335441440
736242044050
oct10165620000
92758471266
101104617472
11517589502
12269b26280
13147b0960a
14a69c1560
1566e990ec
hex41d72000

1104617472 has 112 divisors (see below), whose sum is σ = 3366772032. Its totient is φ = 315555840.

The previous prime is 1104617447. The next prime is 1104617533. The reversal of 1104617472 is 2747164011.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168822 + ... + 175242.

Almost surely, 21104617472 is an apocalyptic number.

1104617472 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 1104617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683386016).

1104617472 is an abundant number, since it is smaller than the sum of its proper divisors (2262154560).

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

1104617472 is an frugal number, since it uses more digits than its factorization.

1104617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1104617472 is about 33235.7860144754. The cubic root of 1104617472 is about 1033.7225004735.

The spelling of 1104617472 in words is "one billion, one hundred four million, six hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 6421 7168 8192 10752 12288 12842 14336 19263 21504 24576 25684 28672 38526 43008 44947 51368 57344 77052 86016 89894 102736 134841 154104 172032 179788 205472 269682 308208 359576 410944 539364 616416 719152 821888 1078728 1232832 1438304 1643776 2157456 2465664 2876608 3287552 4314912 4931328 5753216 6575104 8629824 9862656 11506432 13150208 17259648 19725312 23012864 26300416 34519296 39450624 46025728 52600832 69038592 78901248 92051456 138077184 157802496 184102912 276154368 368205824 552308736 1104617472