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112743792 = 24337231621
BaseRepresentation
bin1101011100001…
…01010101110000
321212010222102000
412232011111300
5212330300132
615104254000
72536210050
oct656052560
9255128360
10112743792
1158706097
1231911300
131a486205
1410d8b560
159d7087c
hex6b85570

112743792 has 160 divisors (see below), whose sum is σ = 386165760. Its totient is φ = 30792960.

The previous prime is 112743791. The next prime is 112743817. The reversal of 112743792 is 297347211.

112743792 is a `hidden beast` number, since 11 + 274 + 379 + 2 = 666.

It is a super-2 number, since 2×1127437922 = 25422325269078528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112743791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68742 + ... + 70362.

It is an arithmetic number, because the mean of its divisors is an integer number (2413536).

Almost surely, 2112743792 is an apocalyptic number.

112743792 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 112743792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193082880).

112743792 is an abundant number, since it is smaller than the sum of its proper divisors (273421968).

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

112743792 is a wasteful number, since it uses less digits than its factorization.

112743792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1656 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 112743792 is about 10618.0879634706. The cubic root of 112743792 is about 483.0931497362.

The spelling of 112743792 in words is "one hundred twelve million, seven hundred forty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1621 1656 1932 2484 2576 2898 3024 3242 3312 3864 4347 4863 4968 5796 6484 7728 8694 9726 9936 11347 11592 12968 14589 17388 19452 22694 23184 25936 29178 34041 34776 37283 38904 43767 45388 58356 68082 69552 74566 77808 87534 90776 102123 111849 116712 136164 149132 175068 181552 204246 223698 233424 260981 272328 298264 306369 335547 350136 408492 447396 521962 544656 596528 612738 671094 700272 782943 816984 894792 1006641 1043924 1225476 1342188 1565886 1633968 1789584 2013282 2087848 2348829 2450952 2684376 3131772 4026564 4175696 4697658 4901904 5368752 6263544 7046487 8053128 9395316 12527088 14092974 16106256 18790632 28185948 37581264 56371896 112743792