Search a number
-
+
111444690 = 235717193153
BaseRepresentation
bin1101010010010…
…00001011010010
321202200222101010
412221020023102
5212012212230
615020351350
72522156430
oct651101322
9252628333
10111444690
11579a9055
12313a5556
131a11cb06
1410b2dd50
159bb59b0
hex6a482d2

111444690 has 256 divisors, whose sum is σ = 358318080. Its totient is φ = 21565440.

The previous prime is 111444679. The next prime is 111444701. The reversal of 111444690 is 96444111.

It is an interprime number because it is at equal distance from previous prime (111444679) and next prime (111444701).

It is a super-2 number, since 2×1114446902 = 24839837858392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 2102704 + ... + 2102756.

It is an arithmetic number, because the mean of its divisors is an integer number (1399680).

Almost surely, 2111444690 is an apocalyptic number.

111444690 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 111444690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179159040).

111444690 is an abundant number, since it is smaller than the sum of its proper divisors (246873390).

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

111444690 is a wasteful number, since it uses less digits than its factorization.

111444690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 111444690 is about 10556.7367116927. The cubic root of 111444690 is about 481.2304801213.

The spelling of 111444690 in words is "one hundred eleven million, four hundred forty-four thousand, six hundred ninety".