Search a number
-
+
110441430 = 232511281397
BaseRepresentation
bin1101001010100…
…11001111010110
321200211000011100
412211103033112
5211233111210
614543050530
72510510451
oct645231726
9250730140
10110441430
1157383310
1230ba0a46
1319b5b278
141094c498
159a685c0
hex69533d6

110441430 has 96 divisors (see below), whose sum is σ = 315158688. Its totient is φ = 26611200.

The previous prime is 110441417. The next prime is 110441467. The reversal of 110441430 is 34144011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277992 + ... + 278388.

It is an arithmetic number, because the mean of its divisors is an integer number (3282903).

Almost surely, 2110441430 is an apocalyptic number.

110441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157579344).

110441430 is an abundant number, since it is smaller than the sum of its proper divisors (204717258).

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

110441430 is a wasteful number, since it uses less digits than its factorization.

110441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 110441430 is about 10509.1117607531. Note that the first 3 decimals coincide. The cubic root of 110441430 is about 479.7820625218.

Adding to 110441430 its reverse (34144011), we get a palindrome (144585441).

The spelling of 110441430 in words is "one hundred ten million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 281 330 397 495 562 794 843 990 1191 1405 1686 1985 2382 2529 2810 3091 3573 3970 4215 4367 5058 5955 6182 7146 8430 8734 9273 11910 12645 13101 15455 17865 18546 21835 25290 26202 27819 30910 35730 39303 43670 46365 55638 65505 78606 92730 111557 131010 139095 196515 223114 278190 334671 393030 557785 669342 1004013 1115570 1227127 1673355 2008026 2454254 3346710 3681381 5020065 6135635 7362762 10040130 11044143 12271270 18406905 22088286 36813810 55220715 110441430