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109049040 = 24325311487
BaseRepresentation
bin1100111111111…
…11010011010000
321121012021011100
412133333103100
5210404032130
614453144400
72462621142
oct637772320
9247167140
10109049040
1156612181
123062b100
1319791579
14106a8c92
159890c60
hex67ff4d0

109049040 has 120 divisors (see below), whose sum is σ = 368155008. Its totient is φ = 28926720.

The previous prime is 109049023. The next prime is 109049063. The reversal of 109049040 is 40940901.

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

It is a super-3 number, since 3×1090490403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109048995 and 109049013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223677 + ... + 224163.

Almost surely, 2109049040 is an apocalyptic number.

109049040 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 109049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184077504).

109049040 is an abundant number, since it is smaller than the sum of its proper divisors (259105968).

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

109049040 is a wasteful number, since it uses less digits than its factorization.

109049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109049040 is about 10442.6548348588. The cubic root of 109049040 is about 477.7572455972.

Adding to 109049040 its reverse (40940901), we get a palindrome (149989941).

The spelling of 109049040 in words is "one hundred nine million, forty-nine 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 90 120 144 180 240 311 360 487 622 720 933 974 1244 1461 1555 1866 1948 2435 2488 2799 2922 3110 3732 3896 4383 4665 4870 4976 5598 5844 6220 7305 7464 7792 8766 9330 9740 11196 11688 12440 13995 14610 14928 17532 18660 19480 21915 22392 23376 24880 27990 29220 35064 37320 38960 43830 44784 55980 58440 70128 74640 87660 111960 116880 151457 175320 223920 302914 350640 454371 605828 757285 908742 1211656 1363113 1514570 1817484 2271855 2423312 2726226 3029140 3634968 4543710 5452452 6058280 6815565 7269936 9087420 10904904 12116560 13631130 18174840 21809808 27262260 36349680 54524520 109049040