Search a number
-
+
109861344 = 253217191181
BaseRepresentation
bin1101000110001…
…01100111100000
321122201112102200
412203011213200
5211111030334
614522413200
72502543315
oct643054740
9248645380
10109861344
11570174aa
1230961200
13199b7218
141083ad0c
1599a1799
hex68c59e0

109861344 has 144 divisors (see below), whose sum is σ = 348500880. Its totient is φ = 32624640.

The previous prime is 109861331. The next prime is 109861351. The reversal of 109861344 is 443168901.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 109861299 and 109861308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92434 + ... + 93614.

It is an arithmetic number, because the mean of its divisors is an integer number (2420145).

Almost surely, 2109861344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109861344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174250440).

109861344 is an abundant number, since it is smaller than the sum of its proper divisors (238639536).

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

109861344 is a wasteful number, since it uses less digits than its factorization.

109861344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109861344 is about 10481.4762319055. The cubic root of 109861344 is about 478.9405801151.

The spelling of 109861344 in words is "one hundred nine million, eight hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 272 288 304 306 323 342 408 456 544 608 612 646 684 816 912 969 1181 1224 1292 1368 1632 1824 1938 2362 2448 2584 2736 2907 3543 3876 4724 4896 5168 5472 5814 7086 7752 9448 10336 10629 11628 14172 15504 18896 20077 21258 22439 23256 28344 31008 37792 40154 42516 44878 46512 56688 60231 67317 80308 85032 89756 93024 113376 120462 134634 160616 170064 179512 180693 201951 240924 269268 321232 340128 359024 361386 381463 403902 481848 538536 642464 718048 722772 762926 807804 963696 1077072 1144389 1445544 1525852 1615608 1927392 2154144 2288778 2891088 3051704 3231216 3433167 4577556 5782176 6103408 6462432 6866334 9155112 12206816 13732668 18310224 27465336 36620448 54930672 109861344