Search a number
-
+
110141712 = 24321017573
BaseRepresentation
bin1101001000010…
…10000100010000
321200020210000200
412210022010100
5211144013322
614532415200
72505121602
oct644120420
9250223020
10110141712
115719910a
1230a77500
1319a84a15
14108b1172
159a098ac
hex690a110

110141712 has 60 divisors (see below), whose sum is σ = 311336844. Its totient is φ = 36345600.

The previous prime is 110141699. The next prime is 110141723. The reversal of 110141712 is 217141011.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 1648656 = 10416^2 + 1284^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10758 + ... + 18330.

Almost surely, 2110141712 is an apocalyptic number.

110141712 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 110141712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155668422).

110141712 is an abundant number, since it is smaller than the sum of its proper divisors (201195132).

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

110141712 is a wasteful number, since it uses less digits than its factorization.

110141712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 110141712 is about 10494.8421617478. The cubic root of 110141712 is about 479.3476554988.

Adding to 110141712 its reverse (217141011), we get a palindrome (327282723).

The spelling of 110141712 in words is "one hundred ten million, one hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 7573 14544 15146 22719 30292 45438 60584 68157 90876 121168 136314 181752 272628 363504 545256 764873 1090512 1529746 2294619 3059492 4589238 6118984 6883857 9178476 12237968 13767714 18356952 27535428 36713904 55070856 110141712