Search a number
-
+
1104071120 = 24517372593
BaseRepresentation
bin100000111001110…
…1100100111010000
32211221111121211222
41001303230213100
54230120233440
6301320024212
736234310145
oct10163544720
92757447758
101104071120
11517245a79
12269902068
13147977a29
14a68bc3cc
1566ddc2b5
hex41cec9d0

1104071120 has 120 divisors (see below), whose sum is σ = 2798117784. Its totient is φ = 403734528.

The previous prime is 1104071119. The next prime is 1104071123. The reversal of 1104071120 is 211704011.

It can be written as a sum of positive squares in 12 ways, for example, as 42354064 + 1061717056 = 6508^2 + 32584^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104071123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861544 + ... + 1862136.

Almost surely, 21104071120 is an apocalyptic number.

1104071120 is a gapful number since it is divisible by the number (10) 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 1104071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399058892).

1104071120 is an abundant number, since it is smaller than the sum of its proper divisors (1694046664).

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

1104071120 is a wasteful number, since it uses less digits than its factorization.

1104071120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 1104071120 is about 33227.5656646707. The cubic root of 1104071120 is about 1033.5520434270.

Adding to 1104071120 its reverse (211704011), we get a palindrome (1315775131).

The spelling of 1104071120 in words is "one billion, one hundred four million, seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 68 74 80 85 136 148 170 185 272 296 340 370 592 593 629 680 740 1186 1258 1360 1369 1480 2372 2516 2738 2960 2965 3145 4744 5032 5476 5930 6290 6845 9488 10064 10081 10952 11860 12580 13690 20162 21904 21941 23273 23720 25160 27380 40324 43882 46546 47440 50320 50405 54760 80648 87764 93092 100810 109520 109705 116365 161296 175528 186184 201620 219410 232730 351056 372368 372997 403240 438820 465460 745994 806480 811817 877640 930920 1491988 1623634 1755280 1861840 1864985 2983976 3247268 3729970 4059085 5967952 6494536 7459940 8118170 12989072 13800889 14919880 16236340 27601778 29839760 32472680 55203556 64945360 69004445 110407112 138008890 220814224 276017780 552035560 1104071120