Search a number
-
+
109036980 = 2232513172741
BaseRepresentation
bin1100111111111…
…00010110110100
321121011122121200
412133330112310
5210403140410
614453012500
72462541033
oct637742664
9247148550
10109036980
1156604108
1230624130
1319788c30
14106a471a
15988c3c0
hex67fc5b4

109036980 has 144 divisors (see below), whose sum is σ = 377277264. Its totient is φ = 25251840.

The previous prime is 109036979. The next prime is 109036981. The reversal of 109036980 is 89630901.

It is an interprime number because it is at equal distance from previous prime (109036979) and next prime (109036981).

It can be written as a sum of positive squares in 8 ways, for example, as 5363856 + 103673124 = 2316^2 + 10182^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109036981) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 38410 + ... + 41150.

It is an arithmetic number, because the mean of its divisors is an integer number (2619981).

Almost surely, 2109036980 is an apocalyptic number.

109036980 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 109036980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188638632).

109036980 is an abundant number, since it is smaller than the sum of its proper divisors (268240284).

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

109036980 is a wasteful number, since it uses less digits than its factorization.

109036980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 109036980 is about 10442.0773795256. The cubic root of 109036980 is about 477.7396328339.

The spelling of 109036980 in words is "one hundred nine million, thirty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 2741 3060 3315 3978 4420 5482 6630 7956 8223 9945 10964 13260 13705 16446 19890 24669 27410 32892 35633 39780 41115 46597 49338 54820 71266 82230 93194 98676 106899 123345 139791 142532 164460 178165 186388 213798 232985 246690 279582 320697 356330 419373 427596 465970 493380 534495 559164 605761 641394 698955 712660 838746 931940 1068990 1211522 1282788 1397910 1603485 1677492 1817283 2096865 2137980 2423044 2795820 3028805 3206970 3634566 4193730 5451849 6057610 6413940 7269132 8387460 9086415 10903698 12115220 18172830 21807396 27259245 36345660 54518490 109036980