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109448040 = 233513174127
BaseRepresentation
bin1101000011000…
…00101101101000
321121221112111010
412201200231220
5211004314130
614505503520
72466202332
oct641405550
9247845433
10109448040
1156864a29
12307a1ba0
13198a1070
1410770452
15991e0b0
hex6860b68

109448040 has 128 divisors (see below), whose sum is σ = 374492160. Its totient is φ = 25350144.

The previous prime is 109448039. The next prime is 109448041. The reversal of 109448040 is 40844901.

It is an interprime number because it is at equal distance from previous prime (109448039) and next prime (109448041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 109447989 and 109448007.

It is not an unprimeable number, because it can be changed into a prime (109448041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24457 + ... + 28583.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2109448040 is an apocalyptic number.

109448040 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 109448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187246080).

109448040 is an abundant number, since it is smaller than the sum of its proper divisors (265044120).

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

109448040 is a wasteful number, since it uses less digits than its factorization.

109448040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 109448040 is about 10461.7417287945. The cubic root of 109448040 is about 478.3392257149.

The spelling of 109448040 in words is "one hundred nine million, four hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4127 4420 5304 6630 8254 8840 12381 13260 16508 20635 24762 26520 33016 41270 49524 53651 61905 70159 82540 99048 107302 123810 140318 160953 165080 210477 214604 247620 268255 280636 321906 350795 420954 429208 495240 536510 561272 643812 701590 804765 841908 912067 1052385 1073020 1287624 1403180 1609530 1683816 1824134 2104770 2146040 2736201 2806360 3219060 3648268 4209540 4560335 5472402 6438120 7296536 8419080 9120670 10944804 13681005 18241340 21889608 27362010 36482680 54724020 109448040