Search a number
-
+
111144432 = 2437330787
BaseRepresentation
bin1101001111111…
…10110111110000
321202010201111110
412213332313300
5211423110212
615010113320
72516466150
oct647766760
9252121443
10111144432
1157813503
123127b840
131a046249
1410a92760
159b56a3c
hex69fedf0

111144432 has 40 divisors (see below), whose sum is σ = 328141696. Its totient is φ = 31755456.

The previous prime is 111144413. The next prime is 111144457. The reversal of 111144432 is 234441111.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111144399 and 111144408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165058 + ... + 165729.

Almost surely, 2111144432 is an apocalyptic number.

111144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111144432 is an abundant number, since it is smaller than the sum of its proper divisors (216997264).

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

111144432 is a wasteful number, since it uses less digits than its factorization.

111144432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330805 (or 330799 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 111144432 is about 10542.5059639537. The cubic root of 111144432 is about 480.7979090037.

Adding to 111144432 its reverse (234441111), we get a palindrome (345585543).

The spelling of 111144432 in words is "one hundred eleven million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 330787 661574 992361 1323148 1984722 2315509 2646296 3969444 4631018 5292592 6946527 7938888 9262036 13893054 15877776 18524072 27786108 37048144 55572216 111144432