Search a number
-
+
1130146160 = 2451113223443
BaseRepresentation
bin100001101011100…
…1010100101110000
32220202120101002012
41003113022211300
54303304134120
6304050542052
740002040523
oct10327124560
92822511065
101130146160
1152aa355a0
12276597928
131501a7350
14aa148bba
156933d1c5
hex435ca970

1130146160 has 160 divisors (see below), whose sum is σ = 3107801088. Its totient is φ = 376796160.

The previous prime is 1130146141. The next prime is 1130146183. The reversal of 1130146160 is 616410311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550899 + ... + 2551341.

Almost surely, 21130146160 is an apocalyptic number.

1130146160 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 1130146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553900544).

1130146160 is an abundant number, since it is smaller than the sum of its proper divisors (1977654928).

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

1130146160 is a wasteful number, since it uses less digits than its factorization.

1130146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1130146160 is about 33617.6465565334. The cubic root of 1130146160 is about 1041.6253431571.

Adding to 1130146160 its reverse (616410311), we get a palindrome (1746556471).

The spelling of 1130146160 in words is "one billion, one hundred thirty million, one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 223 260 286 440 443 446 520 572 715 880 886 892 1040 1115 1144 1430 1772 1784 2215 2230 2288 2453 2860 2899 3544 3568 4430 4460 4873 4906 5720 5759 5798 7088 8860 8920 9746 9812 11440 11518 11596 12265 14495 17720 17840 19492 19624 23036 23192 24365 24530 28795 28990 31889 35440 38984 39248 46072 46384 48730 49060 57590 57980 63349 63778 77968 92144 97460 98120 98789 115180 115960 126698 127556 159445 194920 196240 197578 230360 231920 253396 255112 316745 318890 389840 395156 460720 493945 506792 510224 633490 637780 790312 987890 1013584 1086679 1266980 1275560 1284257 1580624 1975780 2173358 2533960 2551120 2568514 3951560 4346716 5067920 5137028 5433395 6421285 7903120 8693432 10274056 10866790 12842570 14126827 17386864 20548112 21733580 25685140 28253654 43467160 51370280 56507308 70634135 86934320 102740560 113014616 141268270 226029232 282536540 565073080 1130146160