Search a number
-
+
109535418 = 23219536043
BaseRepresentation
bin1101000011101…
…10000010111010
321122002222100100
412201312002322
5211020113133
614511420230
72500015146
oct641660272
9248088310
10109535418
1156914643
1230824676
1319901a75
1410794226
159939e13
hex68760ba

109535418 has 48 divisors (see below), whose sum is σ = 254573280. Its totient is φ = 33931872.

The previous prime is 109535411. The next prime is 109535497. The reversal of 109535418 is 814535901.

109535418 is a `hidden beast` number, since 109 + 5 + 3 + 541 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (109535411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15105 + ... + 21147.

It is an arithmetic number, because the mean of its divisors is an integer number (5303610).

Almost surely, 2109535418 is an apocalyptic number.

109535418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109535418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127286640).

109535418 is an abundant number, since it is smaller than the sum of its proper divisors (145037862).

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

109535418 is a wasteful number, since it uses less digits than its factorization.

109535418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 109535418 is about 10465.9169689043. The cubic root of 109535418 is about 478.4664861241.

The spelling of 109535418 in words is "one hundred nine million, five hundred thirty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 19 38 53 57 106 114 159 171 318 342 477 954 1007 2014 3021 6042 6043 9063 12086 18126 18129 36258 54387 108774 114817 229634 320279 344451 640558 688902 960837 1033353 1921674 2066706 2882511 5765022 6085301 12170602 18255903 36511806 54767709 109535418