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111432420 = 2232511167337
BaseRepresentation
bin1101010010001…
…01001011100100
321202200100112200
412221011023210
5212011314140
615020214500
72522105601
oct651051344
9252610480
10111432420
115799a910
123139a430
131a117358
1410b296a8
159bb2030
hex6a452e4

111432420 has 144 divisors (see below), whose sum is σ = 372048768. Its totient is φ = 26772480.

The previous prime is 111432407. The next prime is 111432437. The reversal of 111432420 is 24234111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111432393 and 111432402.

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, 330492 + ... + 330828.

It is an arithmetic number, because the mean of its divisors is an integer number (2583672).

Almost surely, 2111432420 is an apocalyptic number.

111432420 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 111432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186024384).

111432420 is an abundant number, since it is smaller than the sum of its proper divisors (260616348).

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

111432420 is a wasteful number, since it uses less digits than its factorization.

111432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 111432420 is about 10556.1555501991. The cubic root of 111432420 is about 481.2128184014.

Adding to 111432420 its reverse (24234111), we get a palindrome (135666531).

The spelling of 111432420 in words is "one hundred eleven million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 167 180 198 220 330 334 337 396 495 501 660 668 674 835 990 1002 1011 1348 1503 1670 1685 1837 1980 2004 2022 2505 3006 3033 3340 3370 3674 3707 4044 5010 5055 5511 6012 6066 6740 7348 7414 7515 9185 10020 10110 11022 11121 12132 14828 15030 15165 16533 18370 18535 20220 22044 22242 27555 30060 30330 33066 33363 36740 37070 44484 55110 55605 56279 60660 66132 66726 74140 82665 110220 111210 112558 133452 165330 166815 168837 222420 225116 281395 330660 333630 337674 506511 562790 619069 667260 675348 844185 1013022 1125580 1238138 1688370 1857207 2026044 2476276 2532555 3095345 3376740 3714414 5065110 5571621 6190690 7428828 9286035 10130220 11143242 12381380 18572070 22286484 27858105 37144140 55716210 111432420