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109288320 = 273556921
BaseRepresentation
bin1101000001110…
…01101110000000
321121122102101120
412200321232000
5210434211240
614502232240
72464635561
oct640715600
9247572346
10109288320
1156765a29
1230725680
131984645b
141072c168
1598dbad0
hex6839b80

109288320 has 64 divisors (see below), whose sum is σ = 348362640. Its totient is φ = 29143040.

The previous prime is 109288313. The next prime is 109288321. The reversal of 109288320 is 23882901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109288321) 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 7 ways as a sum of consecutive naturals, for example, 26541 + ... + 30380.

Almost surely, 2109288320 is an apocalyptic number.

109288320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109288320 is an abundant number, since it is smaller than the sum of its proper divisors (239074320).

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

109288320 is an equidigital number, since it uses as much as digits as its factorization.

109288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56943 (or 56931 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 109288320 is about 10454.1054136641. The cubic root of 109288320 is about 478.1064286862.

The spelling of 109288320 in words is "one hundred nine million, two hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 56921 113842 170763 227684 284605 341526 455368 569210 683052 853815 910736 1138420 1366104 1707630 1821472 2276840 2732208 3415260 3642944 4553680 5464416 6830520 7285888 9107360 10928832 13661040 18214720 21857664 27322080 36429440 54644160 109288320