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109506944 = 27671132
BaseRepresentation
bin1101000011011…
…11000110000000
321122001112021202
412201233012000
5211013210234
614511040332
72466536141
oct641570600
9248045252
10109506944
11568a5208
12308100a8
13198c1b11
1410787ac8
15993177e
hex686f180

109506944 has 48 divisors (see below), whose sum is σ = 223391220. Its totient is φ = 53458944.

The previous prime is 109506923. The next prime is 109506949. The reversal of 109506944 is 449605901.

It is a junction number, because it is equal to n+sod(n) for n = 109506898 and 109506907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109506949) 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 5 ways as a sum of consecutive naturals, for example, 969032 + ... + 969144.

Almost surely, 2109506944 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 109506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111695610).

109506944 is an abundant number, since it is smaller than the sum of its proper divisors (113884276).

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

109506944 is an frugal number, since it uses more digits than its factorization.

109506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 109506944 is about 10464.5565601224. The cubic root of 109506944 is about 478.4250230197.

The spelling of 109506944 in words is "one hundred nine million, five hundred six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 113 128 134 226 268 452 536 904 1072 1808 2144 3616 4288 7232 7571 8576 12769 14464 15142 25538 30284 51076 60568 102152 121136 204304 242272 408608 484544 817216 855523 969088 1634432 1711046 3422092 6844184 13688368 27376736 54753472 109506944