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109991000 = 2353719827
BaseRepresentation
bin1101000111001…
…01010001011000
321122222010021202
412203211101120
5211124203000
614525253332
72503623320
oct643452130
9248863252
10109991000
11570a5959
1230a04248
1319a31242
1410872280
1599c9dd5
hex68e5458

109991000 has 128 divisors (see below), whose sum is σ = 310003200. Its totient is φ = 35683200.

The previous prime is 109990963. The next prime is 109991027. The reversal of 109991000 is 199901.

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, 132587 + ... + 133413.

It is an arithmetic number, because the mean of its divisors is an integer number (2421900).

Almost surely, 2109991000 is an apocalyptic number.

109991000 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 109991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

109991000 is an abundant number, since it is smaller than the sum of its proper divisors (200012200).

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

109991000 is a wasteful number, since it uses less digits than its factorization.

109991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 109991000 is about 10487.6594147598. The cubic root of 109991000 is about 479.1289178412.

The spelling of 109991000 in words is "one hundred nine million, nine hundred ninety-one thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 827 875 950 1000 1064 1330 1400 1654 1750 1900 2375 2660 3308 3325 3500 3800 4135 4750 5320 5789 6616 6650 7000 8270 9500 11578 13300 15713 16540 16625 19000 20675 23156 26600 28945 31426 33080 33250 41350 46312 57890 62852 66500 78565 82700 103375 109991 115780 125704 133000 144725 157130 165400 206750 219982 231560 289450 314260 392825 413500 439964 549955 578900 628520 723625 785650 827000 879928 1099910 1157800 1447250 1571300 1964125 2199820 2749775 2894500 3142600 3928250 4399640 5499550 5789000 7856500 10999100 13748875 15713000 21998200 27497750 54995500 109991000