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112424704 = 287431459
BaseRepresentation
bin1101011001101…
…11011100000000
321211112202200221
412230313130000
5212240042304
615053352424
72533410550
oct654673400
9254482627
10112424704
1158508387
1231798714
131a3a3bc2
1410d07160
159d0b054
hex6b37700

112424704 has 72 divisors (see below), whose sum is σ = 262613120. Its totient is φ = 47029248.

The previous prime is 112424699. The next prime is 112424731. The reversal of 112424704 is 407424211.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76327 + ... + 77785.

Almost surely, 2112424704 is an apocalyptic number.

112424704 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 112424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131306560).

112424704 is an abundant number, since it is smaller than the sum of its proper divisors (150188416).

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

112424704 is an equidigital number, since it uses as much as digits as its factorization.

112424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 112424704 is about 10603.0516362036. The cubic root of 112424704 is about 482.6369682828.

Adding to 112424704 its reverse (407424211), we get a palindrome (519848915).

The spelling of 112424704 in words is "one hundred twelve million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 256 301 344 448 602 688 896 1204 1376 1459 1792 2408 2752 2918 4816 5504 5836 9632 10213 11008 11672 19264 20426 23344 38528 40852 46688 62737 77056 81704 93376 125474 163408 186752 250948 326816 373504 439159 501896 653632 878318 1003792 1307264 1756636 2007584 2614528 3513272 4015168 7026544 8030336 14053088 16060672 28106176 56212352 112424704