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109927440 = 243257171283
BaseRepresentation
bin1101000110101…
…01110000010000
321122211220002200
412203111300100
5211120134230
614524043200
72503240110
oct643256020
9248756080
10109927440
1157062127
1230993500
1319a0b32c
1410857040
1599b6160
hex68d5c10

109927440 has 240 divisors, whose sum is σ = 447078528. Its totient is φ = 23629824.

The previous prime is 109927427. The next prime is 109927453. The reversal of 109927440 is 44729901.

It is an interprime number because it is at equal distance from previous prime (109927427) and next prime (109927453).

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 109927395 and 109927404.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85039 + ... + 86321.

Almost surely, 2109927440 is an apocalyptic number.

109927440 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 109927440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223539264).

109927440 is an abundant number, since it is smaller than the sum of its proper divisors (337151088).

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

109927440 is a wasteful number, since it uses less digits than its factorization.

109927440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 109927440 is about 10484.6287487922. The cubic root of 109927440 is about 479.0366093738.

The spelling of 109927440 in words is "one hundred nine million, nine hundred twenty-seven thousand, four hundred forty".