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111420414 = 23372172477
BaseRepresentation
bin1101010010000…
…10001111111110
321202122202002000
412221002033332
5212010423124
615020043130
72522025600
oct651021776
9252582060
10111420414
1157991896
12313934a6
131a111a51
1410b25170
159bad6c9
hex6a423fe

111420414 has 96 divisors (see below), whose sum is σ = 305091360. Its totient is φ = 29949696.

The previous prime is 111420401. The next prime is 111420437. The reversal of 111420414 is 414024111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43744 + ... + 46220.

It is an arithmetic number, because the mean of its divisors is an integer number (3178035).

Almost surely, 2111420414 is an apocalyptic number.

111420414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111420414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152545680).

111420414 is an abundant number, since it is smaller than the sum of its proper divisors (193670946).

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

111420414 is a wasteful number, since it uses less digits than its factorization.

111420414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 111420414 is about 10555.5868619419. The cubic root of 111420414 is about 481.1955354341.

Adding to 111420414 its reverse (414024111), we get a palindrome (525444525).

It can be divided in two parts, 1114 and 20414, that added together give a triangular number (21528 = T207).

The spelling of 111420414 in words is "one hundred eleven million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2477 2499 2646 3213 4954 4998 6426 7431 7497 14862 14994 17339 22293 22491 34678 42109 44586 44982 52017 66879 84218 104034 121373 126327 133758 156051 242746 252654 294763 312102 364119 378981 468153 589526 728238 757962 884289 936306 1092357 1136943 1768578 2063341 2184714 2273886 2652867 3277071 4126682 5305734 6190023 6554142 7958601 12380046 15917202 18570069 37140138 55710207 111420414