Search a number
-
+
111241960 = 23519197743
BaseRepresentation
bin1101010000101…
…10101011101000
321202022200021121
412220112223220
5211434220320
615012145024
72520353404
oct650265350
9252280247
10111241960
115787a805
1231308174
131a07b75b
1410aba104
159b758aa
hex6a16ae8

111241960 has 64 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 41884416.

The previous prime is 111241913. The next prime is 111241973. The reversal of 111241960 is 69142111.

It is a super-3 number, since 3×1112419603 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149349 + ... + 150091.

It is an arithmetic number, because the mean of its divisors is an integer number (4143150).

Almost surely, 2111241960 is an apocalyptic number.

111241960 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 111241960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

111241960 is an abundant number, since it is smaller than the sum of its proper divisors (153919640).

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

111241960 is a wasteful number, since it uses less digits than its factorization.

111241960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 111241960 is about 10547.1304154258. The cubic root of 111241960 is about 480.9384994912.

The spelling of 111241960 in words is "one hundred eleven million, two hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 197 380 394 743 760 788 985 1486 1576 1970 2972 3715 3743 3940 5944 7430 7486 7880 14117 14860 14972 18715 28234 29720 29944 37430 56468 70585 74860 112936 141170 146371 149720 282340 292742 564680 585484 731855 1170968 1463710 2781049 2927420 5562098 5854840 11124196 13905245 22248392 27810490 55620980 111241960