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112535412 = 2231123101367
BaseRepresentation
bin1101011010100…
…10011101110100
321211202101120020
412231102131310
5212302113122
615100005140
72534351403
oct655223564
9254671506
10112535412
1158583580
12318307b0
131a412402
1410d3563a
159d2dc5c
hex6b52774

112535412 has 96 divisors (see below), whose sum is σ = 302690304. Its totient is φ = 32208000.

The previous prime is 112535407. The next prime is 112535441. The reversal of 112535412 is 214535211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306453 + ... + 306819.

It is an arithmetic number, because the mean of its divisors is an integer number (3153024).

Almost surely, 2112535412 is an apocalyptic number.

112535412 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 112535412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151345152).

112535412 is an abundant number, since it is smaller than the sum of its proper divisors (190154892).

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

112535412 is a wasteful number, since it uses less digits than its factorization.

112535412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 112535412 is about 10608.2709241422. The cubic root of 112535412 is about 482.7953387078.

The spelling of 112535412 in words is "one hundred twelve million, five hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 367 404 506 606 734 759 1012 1101 1111 1212 1468 1518 2202 2222 2323 3036 3333 4037 4404 4444 4646 6666 6969 8074 8441 9292 12111 13332 13938 16148 16882 24222 25323 25553 27876 33764 37067 48444 50646 51106 74134 76659 92851 101292 102212 111201 148268 153318 185702 222402 278553 306636 371404 407737 444804 557106 815474 852541 1114212 1223211 1630948 1705082 2446422 2557623 3410164 4892844 5115246 9377951 10230492 18755902 28133853 37511804 56267706 112535412