Search a number
-
+
1861109136 = 24341724969
BaseRepresentation
bin110111011101110…
…0100010110010000
311210201000010210000
41232323210112100
512302420443021
6504402010000
764056111105
oct15673442620
94721003700
101861109136
11875602927
1243b346900
13238767b13
14139262aac
15ad5c9b26
hex6eee4590

1861109136 has 150 divisors (see below), whose sum is σ = 5723238290. Its totient is φ = 583759872.

The previous prime is 1861109111. The next prime is 1861109137. The reversal of 1861109136 is 6319011681.

It is a happy number.

1861109136 is a `hidden beast` number, since 1 + 8 + 611 + 0 + 9 + 1 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 472801536 + 1388307600 = 21744^2 + 37260^2 .

It is a super-2 number, since 2×18611091362 = 6927454432205332992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1861109136.

It is not an unprimeable number, because it can be changed into a prime (1861109137) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 372060 + ... + 377028.

Almost surely, 21861109136 is an apocalyptic number.

1861109136 is a gapful number since it is divisible by the number (16) 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 1861109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861619145).

1861109136 is an abundant number, since it is smaller than the sum of its proper divisors (3862129154).

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

1861109136 is a wasteful number, since it uses less digits than its factorization.

1861109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1861109136 is about 43140.5741269168. The cubic root of 1861109136 is about 1230.0533468831.

The spelling of 1861109136 in words is "one billion, eight hundred sixty-one million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 289 306 324 408 432 459 578 612 648 816 867 918 1156 1224 1296 1377 1734 1836 2312 2448 2601 2754 3468 3672 4624 4969 5202 5508 6936 7344 7803 9938 10404 11016 13872 14907 15606 19876 20808 22032 23409 29814 31212 39752 41616 44721 46818 59628 62424 79504 84473 89442 93636 119256 124848 134163 168946 178884 187272 238512 253419 268326 337892 357768 374544 402489 506838 536652 675784 715536 760257 804978 1013676 1073304 1351568 1436041 1520514 1609956 2027352 2146608 2280771 2872082 3041028 3219912 4054704 4308123 4561542 5744164 6082056 6439824 6842313 8616246 9123084 11488328 12164112 12924369 13684626 17232492 18246168 22976656 25848738 27369252 34464984 36492336 38773107 51697476 54738504 68929968 77546214 103394952 109477008 116319321 155092428 206789904 232638642 310184856 465277284 620369712 930554568 1861109136