Search a number
-
+
110793312 = 2533722617
BaseRepresentation
bin1101001101010…
…01001001100000
321201110212212000
412212221021200
5211330341222
614554404000
72513504400
oct646511140
9251425760
10110793312
11575a3723
1231130600
1319c52496
1410a00800
159ad79ac
hex69a9260

110793312 has 144 divisors (see below), whose sum is σ = 376049520. Its totient is φ = 31643136.

The previous prime is 110793269. The next prime is 110793329. The reversal of 110793312 is 213397011.

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 (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41028 + ... + 43644.

It is an arithmetic number, because the mean of its divisors is an integer number (2611455).

Almost surely, 2110793312 is an apocalyptic number.

110793312 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 110793312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188024760).

110793312 is an abundant number, since it is smaller than the sum of its proper divisors (265256208).

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

110793312 is a wasteful number, since it uses less digits than its factorization.

110793312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 110793312 is about 10525.8402039932. The cubic root of 110793312 is about 480.2910734565.

The spelling of 110793312 in words is "one hundred ten million, seven hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2617 2646 3024 3528 4704 5234 5292 6048 7056 7851 10468 10584 14112 15702 18319 20936 21168 23553 31404 36638 41872 42336 47106 54957 62808 70659 73276 83744 94212 109914 125616 128233 141318 146552 164871 188424 219828 251232 256466 282636 293104 329742 376848 384699 439656 494613 512932 565272 586208 659484 753696 769398 879312 989226 1025864 1130544 1154097 1318968 1538796 1758624 1978452 2051728 2261088 2308194 2637936 3077592 3462291 3956904 4103456 4616388 5275872 6155184 6924582 7913808 9232776 12310368 13849164 15827616 18465552 27698328 36931104 55396656 110793312