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109007640 = 23335714419
BaseRepresentation
bin1100111111101…
…01001100011000
321121010011101000
412133311030120
5210401221030
614452225000
72462356350
oct637651430
9247104330
10109007640
1156594065
123060b160
1319778781
1410697b60
159883860
hex67f5318

109007640 has 128 divisors (see below), whose sum is σ = 415296000. Its totient is φ = 24914304.

The previous prime is 109007629. The next prime is 109007653. The reversal of 109007640 is 46700901.

109007640 is a `hidden beast` number, since 10 + 9 + 0 + 0 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (3244500).

Almost surely, 2109007640 is an apocalyptic number.

109007640 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 109007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207648000).

109007640 is an abundant number, since it is smaller than the sum of its proper divisors (306288360).

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

109007640 is a wasteful number, since it uses less digits than its factorization.

109007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14436 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109007640 is about 10440.6723921403. The cubic root of 109007640 is about 477.6967784486.

The spelling of 109007640 in words is "one hundred nine million, seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 14419 28838 43257 57676 72095 86514 100933 115352 129771 144190 173028 201866 216285 259542 288380 302799 346056 389313 403732 432570 504665 519084 576760 605598 648855 778626 807464 865140 908397 1009330 1038168 1211196 1297710 1513995 1557252 1730280 1816794 1946565 2018660 2422392 2595420 2725191 3027990 3114504 3633588 3893130 4037320 4541985 5190840 5450382 6055980 7267176 7786260 9083970 10900764 12111960 13625955 15572520 18167940 21801528 27251910 36335880 54503820 109007640