Search a number
-
+
104111140 = 22576173167
BaseRepresentation
bin1100011010010…
…01110000100100
321020220101122011
412031021300210
5203123024030
614155244004
72402634010
oct615116044
9236811564
10104111140
115384a271
122aa49604
1318752b33
14db81540
159217b2a
hex6349c24

104111140 has 96 divisors (see below), whose sum is σ = 258983424. Its totient is φ = 34421760.

The previous prime is 104111123. The next prime is 104111141. The reversal of 104111140 is 41111401.

It is a self number, because there is not a number n which added to its sum of digits gives 104111140.

It is not an unprimeable number, because it can be changed into a prime (104111141) 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, 623337 + ... + 623503.

It is an arithmetic number, because the mean of its divisors is an integer number (2697744).

Almost surely, 2104111140 is an apocalyptic number.

104111140 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 104111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129491712).

104111140 is an abundant number, since it is smaller than the sum of its proper divisors (154872284).

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

104111140 is a wasteful number, since it uses less digits than its factorization.

104111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 104111140 is about 10203.4866589808. The cubic root of 104111140 is about 470.4343954306.

Adding to 104111140 its reverse (41111401), we get a palindrome (145222541).

The spelling of 104111140 in words is "one hundred four million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 73 122 140 146 167 244 292 305 334 365 427 511 610 668 730 835 854 1022 1169 1220 1460 1670 1708 2044 2135 2338 2555 3340 4270 4453 4676 5110 5845 8540 8906 10187 10220 11690 12191 17812 20374 22265 23380 24382 31171 40748 44530 48764 50935 60955 62342 71309 85337 89060 101870 121910 124684 142618 155855 170674 203740 243820 285236 311710 341348 356545 426685 623420 713090 743651 853370 1426180 1487302 1706740 2974604 3718255 5205557 7436510 10411114 14873020 20822228 26027785 52055570 104111140