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112335984 = 24369631
BaseRepresentation
bin1101011001000…
…01110001110000
321211101021000000
412230201301300
5212224222414
615051430000
72532561105
oct654416160
9254337000
10112335984
1158457762
1231755300
131a3726c7
1410cc2aac
159cdeb09
hex6b21c70

112335984 has 70 divisors (see below), whose sum is σ = 326361056. Its totient is φ = 37441440.

The previous prime is 112335973. The next prime is 112336009. The reversal of 112335984 is 489533211.

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 13 ways as a sum of consecutive naturals, for example, 6849 + ... + 16479.

Almost surely, 2112335984 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 112335984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163180528).

112335984 is an abundant number, since it is smaller than the sum of its proper divisors (214025072).

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

112335984 is an frugal number, since it uses more digits than its factorization.

112335984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657 (or 9636 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 112335984 is about 10598.8671092716. The cubic root of 112335984 is about 482.5099771533.

The spelling of 112335984 in words is "one hundred twelve million, three hundred thirty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 9631 11664 19262 28893 38524 57786 77048 86679 115572 154096 173358 231144 260037 346716 462288 520074 693432 780111 1040148 1386864 1560222 2080296 2340333 3120444 4160592 4680666 6240888 7020999 9361332 12481776 14041998 18722664 28083996 37445328 56167992 112335984