Search a number
-
+
1120013040 = 2435172231231
BaseRepresentation
bin100001011000010…
…0000101011110000
32220001111120001110
41002300200223300
54243210404130
6303045433320
736516645066
oct10260405360
92801446043
101120013040
11525244413
1227310b840
1314b06a013
14a8a6c036
15684daab0
hex42c20af0

1120013040 has 160 divisors (see below), whose sum is σ = 3695763456. Its totient is φ = 279613440.

The previous prime is 1120013021. The next prime is 1120013047. The reversal of 1120013040 is 403100211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120013047) 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 31 ways as a sum of consecutive naturals, for example, 909225 + ... + 910455.

Almost surely, 21120013040 is an apocalyptic number.

1120013040 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 1120013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847881728).

1120013040 is an abundant number, since it is smaller than the sum of its proper divisors (2575750416).

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

1120013040 is a wasteful number, since it uses less digits than its factorization.

1120013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120013040 is about 33466.5958830593. The cubic root of 1120013040 is about 1038.5028507190.

Adding to 1120013040 its reverse (403100211), we get a palindrome (1523113251).

The spelling of 1120013040 in words is "one billion, one hundred twenty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 223 240 255 272 340 408 446 510 669 680 816 892 1020 1115 1231 1338 1360 1784 2040 2230 2462 2676 3345 3568 3693 3791 4080 4460 4924 5352 6155 6690 7386 7582 8920 9848 10704 11373 12310 13380 14772 15164 17840 18465 18955 19696 20927 22746 24620 26760 29544 30328 36930 37910 41854 45492 49240 53520 56865 59088 60656 62781 73860 75820 83708 90984 98480 104635 113730 125562 147720 151640 167416 181968 209270 227460 251124 274513 295440 303280 313905 334832 418540 454920 502248 549026 627810 823539 837080 909840 1004496 1098052 1255620 1372565 1647078 1674160 2196104 2511240 2745130 3294156 4117695 4392208 4666721 5022480 5490260 6588312 8235390 9333442 10980520 13176624 14000163 16470780 18666884 21961040 23333605 28000326 32941560 37333768 46667210 56000652 65883120 70000815 74667536 93334420 112001304 140001630 186668840 224002608 280003260 373337680 560006520 1120013040