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111352992 = 2531731271
BaseRepresentation
bin1101010001100…
…01110010100000
321202112022120220
412220301302200
5212001243432
615014403040
72521325202
oct650616240
9252468526
10111352992
1157946173
1231360480
131a0ba15a
1410b08772
159b9872c
hex6a31ca0

111352992 has 144 divisors (see below), whose sum is σ = 324305856. Its totient is φ = 33331200.

The previous prime is 111352933. The next prime is 111353003. The reversal of 111352992 is 299253111.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1568317 + ... + 1568387.

It is an arithmetic number, because the mean of its divisors is an integer number (2252124).

Almost surely, 2111352992 is an apocalyptic number.

111352992 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 111352992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162152928).

111352992 is an abundant number, since it is smaller than the sum of its proper divisors (212952864).

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

111352992 is a wasteful number, since it uses less digits than its factorization.

111352992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 111352992 is about 10552.3927144511. The cubic root of 111352992 is about 481.0984565406.

The spelling of 111352992 in words is "one hundred eleven million, three hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 71 93 96 102 124 136 142 186 204 213 248 272 284 372 408 426 496 527 544 568 744 816 852 961 992 1054 1136 1207 1488 1581 1632 1704 1922 2108 2201 2272 2414 2883 2976 3162 3408 3621 3844 4216 4402 4828 5766 6324 6603 6816 7242 7688 8432 8804 9656 11532 12648 13206 14484 15376 16337 16864 17608 19312 23064 25296 26412 28968 30752 32674 35216 37417 38624 46128 49011 50592 52824 57936 65348 68231 70432 74834 92256 98022 105648 112251 115872 130696 136462 149668 196044 204693 211296 224502 261392 272924 299336 392088 409386 449004 522784 545848 598672 784176 818772 898008 1091696 1159927 1197344 1568352 1637544 1796016 2183392 2319854 3275088 3479781 3592032 4639708 6550176 6959562 9279416 13919124 18558832 27838248 37117664 55676496 111352992