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111427932 = 223711219577
BaseRepresentation
bin1101010010001…
…00000101011100
321202200010101110
412221010011130
5212011143212
615020142020
72522056530
oct651040534
9252603343
10111427932
1157997500
1231397910
131a1152b5
1410b27bc0
159bb0a3c
hex6a4415c

111427932 has 144 divisors (see below), whose sum is σ = 344395520. Its totient is φ = 27371520.

The previous prime is 111427891. The next prime is 111427933. The reversal of 111427932 is 239724111.

It is a self number, because there is not a number n which added to its sum of digits gives 111427932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111427933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192828 + ... + 193404.

Almost surely, 2111427932 is an apocalyptic number.

111427932 is a gapful number since it is divisible by the number (12) 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 111427932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172197760).

111427932 is an abundant number, since it is smaller than the sum of its proper divisors (232967588).

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

111427932 is a wasteful number, since it uses less digits than its factorization.

111427932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 619 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 111427932 is about 10555.9429706682. The cubic root of 111427932 is about 481.2063579472.

The spelling of 111427932 in words is "one hundred eleven million, four hundred twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 577 627 726 798 836 847 924 1154 1254 1452 1463 1596 1694 1731 2299 2308 2508 2541 2926 3388 3462 4039 4389 4598 5082 5852 6347 6897 6924 8078 8778 9196 10164 10963 12117 12694 13794 16093 16156 17556 19041 21926 24234 25388 27588 32186 32889 38082 43852 44429 48279 48468 64372 65778 69817 76164 76741 88858 96558 120593 131556 133287 139634 153482 177716 193116 209451 230223 241186 266574 279268 306964 361779 418902 460446 482372 488719 533148 723558 837804 844151 920892 977438 1326523 1447116 1466157 1688302 1954876 2532453 2653046 2932314 3376604 3979569 5064906 5306092 5864628 7959138 9285661 10129812 15918276 18571322 27856983 37142644 55713966 111427932