Search a number
-
+
1155434560 = 26573791361
BaseRepresentation
bin100010011011110…
…1000100001000000
32222112011011020121
41010313220201000
54331242401220
6310352550024
740430013610
oct10467504100
92875134217
101155434560
115432380a5
12282b52314
131554bc8b7
14ad64ca40
156b685eaa
hex44de8840

1155434560 has 112 divisors (see below), whose sum is σ = 3155045760. Its totient is φ = 394813440.

The previous prime is 1155434549. The next prime is 1155434561. The reversal of 1155434560 is 654345511.

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

It is not an unprimeable number, because it can be changed into a prime (1155434561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 848280 + ... + 849640.

Almost surely, 21155434560 is an apocalyptic number.

1155434560 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 1155434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577522880).

1155434560 is an abundant number, since it is smaller than the sum of its proper divisors (1999611200).

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

1155434560 is a wasteful number, since it uses less digits than its factorization.

1155434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 1155434560 is about 33991.6836888084. The cubic root of 1155434560 is about 1049.3373173012.

The spelling of 1155434560 in words is "one billion, one hundred fifty-five million, four hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 379 448 560 758 1120 1361 1516 1895 2240 2653 2722 3032 3790 5306 5444 6064 6805 7580 9527 10612 10888 12128 13265 13610 15160 19054 21224 21776 24256 26530 27220 30320 38108 42448 43552 47635 53060 54440 60640 76216 84896 87104 95270 106120 108880 121280 152432 169792 190540 212240 217760 304864 381080 424480 435520 515819 609728 762160 848960 1031638 1524320 2063276 2579095 3048640 3610733 4126552 5158190 7221466 8253104 10316380 14442932 16506208 18053665 20632760 28885864 33012416 36107330 41265520 57771728 72214660 82531040 115543456 144429320 165062080 231086912 288858640 577717280 1155434560