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109841040 = 24325373409
BaseRepresentation
bin1101000110000…
…00101010010000
321122200111120200
412203000222100
5211104403130
614522135200
72502430161
oct643005220
9248614520
10109841040
1157003221
1230951500
13199aabca
1410833768
15999a760
hex68c0a90

109841040 has 120 divisors (see below), whose sum is σ = 370776120. Its totient is φ = 29140992.

The previous prime is 109841027. The next prime is 109841051. The reversal of 109841040 is 40148901.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 76108176 = 5808^2 + 8724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 109840995 and 109841013.

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, 268356 + ... + 268764.

It is an arithmetic number, because the mean of its divisors is an integer number (3089801).

Almost surely, 2109841040 is an apocalyptic number.

109841040 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 109841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185388060).

109841040 is an abundant number, since it is smaller than the sum of its proper divisors (260935080).

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

109841040 is a wasteful number, since it uses less digits than its factorization.

109841040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 109841040 is about 10480.5076212939. The cubic root of 109841040 is about 478.9110731981.

Adding to 109841040 its reverse (40148901), we get a palindrome (149989941).

The spelling of 109841040 in words is "one hundred nine million, eight hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 373 409 720 746 818 1119 1227 1492 1636 1865 2045 2238 2454 2984 3272 3357 3681 3730 4090 4476 4908 5595 5968 6135 6544 6714 7362 7460 8180 8952 9816 11190 12270 13428 14724 14920 16360 16785 17904 18405 19632 22380 24540 26856 29448 29840 32720 33570 36810 44760 49080 53712 58896 67140 73620 89520 98160 134280 147240 152557 268560 294480 305114 457671 610228 762785 915342 1220456 1373013 1525570 1830684 2288355 2440912 2746026 3051140 3661368 4576710 5492052 6102280 6865065 7322736 9153420 10984104 12204560 13730130 18306840 21968208 27460260 36613680 54920520 109841040