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109292096 = 2673149157
BaseRepresentation
bin1101000001110…
…10101001000000
321121122121120102
412200322221000
5210434321341
614502301532
72464652564
oct640725100
9247577512
10109292096
1156768851
12307278a8
13198480a4
141072d6a4
1598dcc9b
hex683aa40

109292096 has 56 divisors (see below), whose sum is σ = 222732600. Its totient is φ = 53194752.

The previous prime is 109292069. The next prime is 109292119. The reversal of 109292096 is 690292901.

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 108160000 = 1064^2 + 10400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696050 + ... + 696206.

Almost surely, 2109292096 is an apocalyptic number.

109292096 is a gapful number since it is divisible by the number (16) 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 109292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111366300).

109292096 is an abundant number, since it is smaller than the sum of its proper divisors (113440504).

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

109292096 is a wasteful number, since it uses less digits than its factorization.

109292096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The square root of 109292096 is about 10454.2860110100. The cubic root of 109292096 is about 478.1119349442. Note that the first 3 decimals are identical.

The spelling of 109292096 in words is "one hundred nine million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 73 146 149 157 292 298 314 584 596 628 1168 1192 1256 2336 2384 2512 4672 4768 5024 9536 10048 10877 11461 21754 22922 23393 43508 45844 46786 87016 91688 93572 174032 183376 187144 348064 366752 374288 696128 733504 748576 1497152 1707689 3415378 6830756 13661512 27323024 54646048 109292096