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109206720 = 2632575417
BaseRepresentation
bin1101000001001…
…01110011000000
321121111021110100
412200211303000
5210424103340
614500402400
72464145640
oct640456300
9247437410
10109206720
115670a697
12306a6400
131981827c
141070a520
1598c2830
hex6825cc0

109206720 has 168 divisors, whose sum is σ = 429365664. Its totient is φ = 24956928.

The previous prime is 109206701. The next prime is 109206761. The reversal of 109206720 is 27602901.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×1092067203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17452 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2109206720 is an apocalyptic number.

109206720 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 109206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214682832).

109206720 is an abundant number, since it is smaller than the sum of its proper divisors (320158944).

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

109206720 is a wasteful number, since it uses less digits than its factorization.

109206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109206720 is about 10450.2019119250. The cubic root of 109206720 is about 477.9874065180.

The spelling of 109206720 in words is "one hundred nine million, two hundred six thousand, seven hundred twenty".