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109821348 = 223272134789
BaseRepresentation
bin1101000101110…
…11110110100100
321122122111120100
412202323312210
5211103240343
614521504100
72502315600
oct642736644
9248574510
10109821348
1156a9a44a
1230942030
13199a1c60
141082a500
1599949d3
hex68bbda4

109821348 has 108 divisors (see below), whose sum is σ = 347840220. Its totient is φ = 28957824.

The previous prime is 109821337. The next prime is 109821373. The reversal of 109821348 is 843128901.

It can be written as a sum of positive squares in 2 ways, for example, as 11573604 + 98247744 = 3402^2 + 9912^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20538 + ... + 25326.

Almost surely, 2109821348 is an apocalyptic number.

109821348 is a gapful number since it is divisible by the number (18) 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 109821348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173920110).

109821348 is an abundant number, since it is smaller than the sum of its proper divisors (238018872).

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

109821348 is a wasteful number, since it uses less digits than its factorization.

109821348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109821348 is about 10479.5681208722. The cubic root of 109821348 is about 478.8824522003.

The spelling of 109821348 in words is "one hundred nine million, eight hundred twenty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 4789 5733 7644 9578 11466 14367 19156 22932 28734 33523 43101 57468 62257 67046 86202 100569 124514 134092 172404 186771 201138 234661 249028 301707 373542 402276 435799 469322 560313 603414 703983 747084 871598 938644 1120626 1206828 1307397 1407966 1743196 2111949 2241252 2614794 2815932 3050593 3922191 4223898 5229588 6101186 7844382 8447796 9151779 12202372 15688764 18303558 27455337 36607116 54910674 109821348