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109379760 = 24357271131
BaseRepresentation
bin1101000010100…
…00000010110000
321121211001211020
412201100002300
5211000123020
614504215440
72465466300
oct641200260
9247731736
10109379760
11568186a6
123076a580
1319878c69
1410753600
159908c40
hex68500b0

109379760 has 240 divisors, whose sum is σ = 403045632. Its totient is φ = 24460800.

The previous prime is 109379747. The next prime is 109379773. The reversal of 109379760 is 67973901.

It is an interprime number because it is at equal distance from previous prime (109379747) and next prime (109379773).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834895 + ... + 835025.

Almost surely, 2109379760 is an apocalyptic number.

109379760 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 109379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522816).

109379760 is an abundant number, since it is smaller than the sum of its proper divisors (293665872).

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

109379760 is a wasteful number, since it uses less digits than its factorization.

109379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 109379760 is about 10458.4779007272. The cubic root of 109379760 is about 478.2397331562.

The spelling of 109379760 in words is "one hundred nine million, three hundred seventy-nine thousand, seven hundred sixty".