Search a number
-
+
112532364 = 223271921237
BaseRepresentation
bin1101011010100…
…01101110001100
321211202020101100
412231101232030
5212302013424
615055543100
72534336460
oct655215614
9254666340
10112532364
115858125a
123182aa90
131a410bc9
1410d344a0
159d2cdc9
hex6b51b8c

112532364 has 108 divisors (see below), whose sum is σ = 343381584. Its totient is φ = 30435264.

The previous prime is 112532323. The next prime is 112532389. The reversal of 112532364 is 463235211.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90354 + ... + 91590.

Almost surely, 2112532364 is an apocalyptic number.

112532364 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 112532364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171690792).

112532364 is an abundant number, since it is smaller than the sum of its proper divisors (230849220).

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

112532364 is a wasteful number, since it uses less digits than its factorization.

112532364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1268 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 112532364 is about 10608.1272616801. The cubic root of 112532364 is about 482.7909798621.

Adding to 112532364 its reverse (463235211), we get a palindrome (575767575).

It can be divided in two parts, 112532 and 364, that added together give a square (112896 = 3362).

The spelling of 112532364 in words is "one hundred twelve million, five hundred thirty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 361 399 532 684 722 798 1083 1197 1237 1444 1596 2166 2394 2474 2527 3249 3711 4332 4788 4948 5054 6498 7422 7581 8659 10108 11133 12996 14844 15162 17318 22266 22743 23503 25977 30324 34636 44532 45486 47006 51954 70509 77931 90972 94012 103908 141018 155862 164521 211527 282036 311724 329042 423054 446557 493563 658084 846108 893114 987126 1339671 1480689 1786228 1974252 2679342 2961378 3125899 4019013 5358684 5922756 6251798 8038026 9377697 12503596 16076052 18755394 28133091 37510788 56266182 112532364