Search a number
-
+
110121620 = 22572373037
BaseRepresentation
bin1101001000001…
…01001010010100
321200012202110112
412210011022110
5211142342440
614532142152
72505006200
oct644051224
9250182415
10110121620
1157185004
1230a67958
1319a7882b
14108a7b00
159a03965
hex6905294

110121620 has 72 divisors (see below), whose sum is σ = 276372936. Its totient is φ = 36723456.

The previous prime is 110121619. The next prime is 110121629. The reversal of 110121620 is 26121011.

It can be written as a sum of positive squares in 4 ways, for example, as 50183056 + 59938564 = 7084^2 + 7742^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110121595 and 110121604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34742 + ... + 37778.

It is an arithmetic number, because the mean of its divisors is an integer number (3838513).

Almost surely, 2110121620 is an apocalyptic number.

110121620 is a gapful number since it is divisible by the number (10) 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 110121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138186468).

110121620 is an abundant number, since it is smaller than the sum of its proper divisors (166251316).

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

110121620 is a wasteful number, since it uses less digits than its factorization.

110121620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 110121620 is about 10493.8848859705. The cubic root of 110121620 is about 479.3185062673.

Adding to 110121620 its reverse (26121011), we get a palindrome (136242631).

The spelling of 110121620 in words is "one hundred ten million, one hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3037 3626 5180 6074 7252 9065 12148 15185 18130 21259 30370 36260 42518 60740 85036 106295 112369 148813 212590 224738 297626 425180 449476 561845 595252 744065 786583 1123690 1488130 1573166 2247380 2976260 3146332 3932915 5506081 7865830 11012162 15731660 22024324 27530405 55060810 110121620