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111413328 = 24313612927
BaseRepresentation
bin1101010010000…
…00100001010000
321202122101100120
412221000201100
5212010211303
615015550240
72521666125
oct651004120
9252571316
10111413328
1157987534
123138b380
131a10b760
1410b2274c
159bab553
hex6a40850

111413328 has 80 divisors (see below), whose sum is σ = 315146496. Its totient is φ = 33707520.

The previous prime is 111413297. The next prime is 111413329. The reversal of 111413328 is 823314111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 111413298 and 111413307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111413329) 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, 36601 + ... + 39527.

Almost surely, 2111413328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157573248).

111413328 is an abundant number, since it is smaller than the sum of its proper divisors (203733168).

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

111413328 is a wasteful number, since it uses less digits than its factorization.

111413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 111413328 is about 10555.2512049690. The cubic root of 111413328 is about 481.1853343596.

Adding to 111413328 its reverse (823314111), we get a palindrome (934727439).

The spelling of 111413328 in words is "one hundred eleven million, four hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 244 312 366 488 624 732 793 976 1464 1586 2379 2927 2928 3172 4758 5854 6344 8781 9516 11708 12688 17562 19032 23416 35124 38051 38064 46832 70248 76102 114153 140496 152204 178547 228306 304408 357094 456612 535641 608816 714188 913224 1071282 1428376 1826448 2142564 2321111 2856752 4285128 4642222 6963333 8570256 9284444 13926666 18568888 27853332 37137776 55706664 111413328