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112430724 = 223717431831
BaseRepresentation
bin1101011001110…
…00111010000100
321211120001221220
412230320322010
5212240240344
615053440340
72533434240
oct654707204
9254501856
10112430724
115851195a
12317a00b0
131a3a6873
1410d09420
159d0cc19
hex6b38e84

112430724 has 96 divisors (see below), whose sum is σ = 325011456. Its totient is φ = 29514240.

The previous prime is 112430723. The next prime is 112430737. The reversal of 112430724 is 427034211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112430694 and 112430703.

It is not an unprimeable number, because it can be changed into a prime (112430723) 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, 60489 + ... + 62319.

It is an arithmetic number, because the mean of its divisors is an integer number (3385536).

Almost surely, 2112430724 is an apocalyptic number.

112430724 is a gapful number since it is divisible by the number (14) 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 112430724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162505728).

112430724 is an abundant number, since it is smaller than the sum of its proper divisors (212580732).

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

112430724 is a wasteful number, since it uses less digits than its factorization.

112430724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 112430724 is about 10603.3355129412. The cubic root of 112430724 is about 482.6455827083.

Adding to 112430724 its reverse (427034211), we get a palindrome (539464935).

The spelling of 112430724 in words is "one hundred twelve million, four hundred thirty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 238 258 301 357 476 516 602 714 731 903 1204 1428 1462 1806 1831 2193 2924 3612 3662 4386 5117 5493 7324 8772 10234 10986 12817 15351 20468 21972 25634 30702 31127 38451 51268 61404 62254 76902 78733 93381 124508 153804 157466 186762 217889 236199 314932 373524 435778 472398 551131 653667 871556 944796 1102262 1307334 1338461 1653393 2204524 2614668 2676922 3306786 4015383 5353844 6613572 8030766 9369227 16061532 18738454 28107681 37476908 56215362 112430724