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112425984 = 21032111109
BaseRepresentation
bin1101011001101…
…11110000000000
321211112211110100
412230313300000
5212240112414
615053402400
72533414356
oct654676000
9254484410
10112425984
1158509340
1231799400
131a3a4668
1410d077d6
159d0b609
hex6b37c00

112425984 has 132 divisors (see below), whose sum is σ = 354458520. Its totient is φ = 34037760.

The previous prime is 112425967. The next prime is 112425991. The reversal of 112425984 is 489524211.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100822 + ... + 101930.

Almost surely, 2112425984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112425984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177229260).

112425984 is an abundant number, since it is smaller than the sum of its proper divisors (242032536).

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

112425984 is a wasteful number, since it uses less digits than its factorization.

112425984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1125 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 112425984 is about 10603.1119960132. Note that the first 3 decimals coincide. The cubic root of 112425984 is about 482.6387999472.

The spelling of 112425984 in words is "one hundred twelve million, four hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1109 1152 1408 1536 1584 2112 2218 2304 2816 3072 3168 3327 4224 4436 4608 5632 6336 6654 8448 8872 9216 9981 11264 12199 12672 13308 16896 17744 19962 24398 25344 26616 33792 35488 36597 39924 48796 50688 53232 70976 73194 79848 97592 101376 106464 109791 141952 146388 159696 195184 212928 219582 283904 292776 319392 390368 425856 439164 567808 585552 638784 780736 851712 878328 1135616 1171104 1277568 1561472 1703424 1756656 2342208 2555136 3122944 3406848 3513312 4684416 5110272 6245888 7026624 9368832 10220544 12491776 14053248 18737664 28106496 37475328 56212992 112425984