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109367412 = 223721137457
BaseRepresentation
bin1101000010011…
…01000001110100
321121210102212220
412201031001310
5210444224122
614504042340
72465415300
oct641150164
9247712786
10109367412
115680a3a0
12307633b0
131987345b
141074cd00
15990525c
hex684d074

109367412 has 144 divisors (see below), whose sum is σ = 333321408. Its totient is φ = 27578880.

The previous prime is 109367399. The next prime is 109367413. The reversal of 109367412 is 214763901.

It is a super-2 number, since 2×1093674122 = 23922461615155488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109367413) 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 47 ways as a sum of consecutive naturals, for example, 239088 + ... + 239544.

It is an arithmetic number, because the mean of its divisors is an integer number (2314732).

Almost surely, 2109367412 is an apocalyptic number.

109367412 is a gapful number since it is divisible by the number (12) 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 109367412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166660704).

109367412 is an abundant number, since it is smaller than the sum of its proper divisors (223953996).

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

109367412 is a wasteful number, since it uses less digits than its factorization.

109367412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 109367412 is about 10457.8875495962. The cubic root of 109367412 is about 478.2217361445.

The spelling of 109367412 in words is "one hundred nine million, three hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 49 66 74 77 84 98 111 132 147 148 154 196 222 231 259 294 308 407 444 457 462 518 539 588 777 814 914 924 1036 1078 1221 1371 1554 1617 1628 1813 1828 2156 2442 2742 2849 3108 3199 3234 3626 4884 5027 5439 5484 5698 6398 6468 7252 8547 9597 10054 10878 11396 12796 15081 16909 17094 19194 19943 20108 21756 22393 30162 33818 34188 35189 38388 39886 44786 50727 59829 60324 67179 67636 70378 79772 89572 101454 105567 118363 119658 134358 140756 185999 202908 211134 236726 239316 246323 268716 355089 371998 422268 473452 492646 557997 710178 738969 743996 828541 985292 1115994 1301993 1420356 1477938 1657082 2231988 2485623 2603986 2955876 3314164 3905979 4971246 5207972 7811958 9113951 9942492 15623916 18227902 27341853 36455804 54683706 109367412