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109740 = 22353159
BaseRepresentation
bin11010110010101100
312120112110
4122302230
512002430
62204020
7634641
oct326254
9176473
10109740
11754a4
1253610
133ac47
142bdc8
15227b0
hex1acac

109740 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 27840.

The previous prime is 109721. The next prime is 109741. The reversal of 109740 is 47901.

Added to its reverse (47901) it gives a triangular number (157641 = T561).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109740.

It is not an unprimeable number, because it can be changed into a prime (109741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2109740 is an apocalyptic number.

109740 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 109740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

109740 is an abundant number, since it is smaller than the sum of its proper divisors (212820).

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

109740 is a wasteful number, since it uses less digits than its factorization.

109740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 109740 is about 331.2702823979. The cubic root of 109740 is about 47.8764182079.

Adding to 109740 its reverse (47901), we get a triangular number (157641 = T561).

The spelling of 109740 in words is "one hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 620 708 885 930 1180 1770 1829 1860 3540 3658 5487 7316 9145 10974 18290 21948 27435 36580 54870 109740