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112706532 = 223317223157
BaseRepresentation
bin1101011011111…
…00001111100100
321212002002022000
412231330033210
5212323102112
615103405300
72535663321
oct655741744
9255062260
10112706532
11586900a4
12318b3830
131a472273
1410d7bb48
159d647dc
hex6b7c3e4

112706532 has 144 divisors (see below), whose sum is σ = 325960320. Its totient is φ = 33606144.

The previous prime is 112706519. The next prime is 112706543. The reversal of 112706532 is 235607211.

It is a happy number.

112706532 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 0 + 653 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112706496 and 112706505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717798 + ... + 717954.

Almost surely, 2112706532 is an apocalyptic number.

112706532 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 112706532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162980160).

112706532 is an abundant number, since it is smaller than the sum of its proper divisors (213253788).

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

112706532 is a wasteful number, since it uses less digits than its factorization.

112706532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112706532 is about 10616.3332653040. Note that the first 3 decimals coincide. The cubic root of 112706532 is about 483.0399257147.

The spelling of 112706532 in words is "one hundred twelve million, seven hundred six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 92 102 108 138 153 157 204 207 276 289 306 314 391 414 459 471 578 612 621 628 782 828 867 918 942 1156 1173 1242 1413 1564 1734 1836 1884 2346 2484 2601 2669 2826 3468 3519 3611 4239 4692 5202 5338 5652 6647 7038 7222 7803 8007 8478 10404 10557 10676 10833 13294 14076 14444 15606 16014 16956 19941 21114 21666 24021 26588 31212 32028 32499 39882 42228 43332 45373 48042 59823 61387 64998 72063 79764 90746 96084 97497 119646 122774 129996 136119 144126 179469 181492 184161 194994 239292 245548 272238 288252 358938 368322 389988 408357 544476 552483 717876 736644 816714 1043579 1104966 1225071 1633428 1657449 2087158 2209932 2450142 3130737 3314898 4174316 4900284 6261474 6629796 9392211 12522948 18784422 28176633 37568844 56353266 112706532