Search a number
-
+
109292000 = 255389307
BaseRepresentation
bin1101000001110…
…10100111100000
321121122121102212
412200322213200
5210434321000
614502301252
72464652366
oct640724740
9247577385
10109292000
1156768774
1230727828
131984802c
141072d636
1598dcc35
hex683a9e0

109292000 has 96 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 43084800.

The previous prime is 109291991. The next prime is 109292033. The reversal of 109292000 is 292901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355847 + ... + 356153.

It is an arithmetic number, because the mean of its divisors is an integer number (2837835).

Almost surely, 2109292000 is an apocalyptic number.

109292000 is a gapful number since it is divisible by the number (10) 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 109292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

109292000 is an abundant number, since it is smaller than the sum of its proper divisors (163140160).

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

109292000 is an equidigital number, since it uses as much as digits as its factorization.

109292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 109292000 is about 10454.2814195907. The cubic root of 109292000 is about 478.1117949562. Note that the first 3 decimals are identical.

The spelling of 109292000 in words is "one hundred nine million, two hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 307 356 400 445 500 614 712 800 890 1000 1228 1424 1535 1780 2000 2225 2456 2848 3070 3560 4000 4450 4912 6140 7120 7675 8900 9824 11125 12280 14240 15350 17800 22250 24560 27323 30700 35600 38375 44500 49120 54646 61400 71200 76750 89000 109292 122800 136615 153500 178000 218584 245600 273230 307000 356000 437168 546460 614000 683075 874336 1092920 1228000 1366150 2185840 2732300 3415375 4371680 5464600 6830750 10929200 13661500 21858400 27323000 54646000 109292000