Search a number
-
+
110920152 = 23372832333
BaseRepresentation
bin1101001110010…
…00000111011000
321201201022211210
412213020013120
5211343421102
615001223120
72514543240
oct647100730
9251638753
10110920152
115767aa52
1231191aa0
1319c98135
1410a34b20
159b1036c
hex69c81d8

110920152 has 64 divisors (see below), whose sum is σ = 318170880. Its totient is φ = 31565952.

The previous prime is 110920151. The next prime is 110920153. The reversal of 110920152 is 251029011.

It is an interprime number because it is at equal distance from previous prime (110920151) and next prime (110920153).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110920151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46378 + ... + 48710.

It is an arithmetic number, because the mean of its divisors is an integer number (4971420).

Almost surely, 2110920152 is an apocalyptic number.

110920152 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 110920152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159085440).

110920152 is an abundant number, since it is smaller than the sum of its proper divisors (207250728).

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

110920152 is a wasteful number, since it uses less digits than its factorization.

110920152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 110920152 is about 10531.8636527445. The cubic root of 110920152 is about 480.4742881458.

Adding to 110920152 its reverse (251029011), we get a palindrome (361949163).

The spelling of 110920152 in words is "one hundred ten million, nine hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1981 2264 2333 3396 3962 4666 5943 6792 6999 7924 9332 11886 13998 15848 16331 18664 23772 27996 32662 47544 48993 55992 65324 97986 130648 195972 391944 660239 1320478 1980717 2640956 3961434 4621673 5281912 7922868 9243346 13865019 15845736 18486692 27730038 36973384 55460076 110920152