Search a number
-
+
1814108835 = 357112142787
BaseRepresentation
bin110110000100001…
…0001101010100011
311200102120021111010
41230020101222203
512203402440320
6500002352003
762645446020
oct15410215243
94612507433
101814108835
11851020900
1242765b603
1322babcba6
14132d0a547
15a93e3ae0
hex6c211aa3

1814108835 has 48 divisors (see below), whose sum is σ = 3646234368. Its totient is φ = 753910080.

The previous prime is 1814108827. The next prime is 1814108851. The reversal of 1814108835 is 5388014181.

It is not a de Polignac number, because 1814108835 - 23 = 1814108827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1814108793 and 1814108802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58689 + ... + 84098.

It is an arithmetic number, because the mean of its divisors is an integer number (75963216).

Almost surely, 21814108835 is an apocalyptic number.

1814108835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1814108835 is an abundant number, since it is smaller than the sum of its proper divisors (1832125533).

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

1814108835 is a wasteful number, since it uses less digits than its factorization.

1814108835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142824 (or 142813 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1814108835 is about 42592.3565325987. The cubic root of 1814108835 is about 1219.6103823937.

The spelling of 1814108835 in words is "one billion, eight hundred fourteen million, one hundred eight thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 142787 428361 713935 999509 1570657 2141805 2998527 4711971 4997545 7853285 10994599 14992635 17277227 23559855 32983797 51831681 54972995 86386135 120940589 164918985 259158405 362821767 604702945 1814108835