Search a number
-
+
108141084 = 223219374273
BaseRepresentation
bin1100111001000…
…01101000011100
321112111010200100
412130201220130
5210141003314
614421501100
72452120062
oct634415034
9245433610
10108141084
1156051aa7
1230271790
131953420c
1410510032
159761c09
hex6721a1c

108141084 has 72 divisors (see below), whose sum is σ = 295589840. Its totient is φ = 33219072.

The previous prime is 108141083. The next prime is 108141107. The reversal of 108141084 is 480141801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108141083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23172 + ... + 27444.

Almost surely, 2108141084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108141084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147794920).

108141084 is an abundant number, since it is smaller than the sum of its proper divisors (187448756).

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

108141084 is a wasteful number, since it uses less digits than its factorization.

108141084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4339 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 108141084 is about 10399.0905371576. The cubic root of 108141084 is about 476.4275928497.

Adding to 108141084 its reverse (480141801), we get a palindrome (588282885).

The spelling of 108141084 in words is "one hundred eight million, one hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 37 38 57 74 76 111 114 148 171 222 228 333 342 444 666 684 703 1332 1406 2109 2812 4218 4273 6327 8436 8546 12654 12819 17092 25308 25638 38457 51276 76914 81187 153828 158101 162374 243561 316202 324748 474303 487122 632404 730683 948606 974244 1422909 1461366 1897212 2845818 2922732 3003919 5691636 6007838 9011757 12015676 18023514 27035271 36047028 54070542 108141084