Search a number
-
+
112711152 = 24367101347
BaseRepresentation
bin1101011011111…
…01010111110000
321212002022122010
412231331113300
5212323224102
615103442520
72536012641
oct655752760
9255068563
10112711152
1158693614
12318b6440
131a4743b8
1410d7d6c8
159d65d6c
hex6b7d5f0

112711152 has 80 divisors (see below), whose sum is σ = 299302272. Its totient is φ = 36537600.

The previous prime is 112711147. The next prime is 112711153. The reversal of 112711152 is 251117211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112711153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324643 + ... + 324989.

Almost surely, 2112711152 is an apocalyptic number.

112711152 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 112711152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149651136).

112711152 is an abundant number, since it is smaller than the sum of its proper divisors (186591120).

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

112711152 is a wasteful number, since it uses less digits than its factorization.

112711152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its digits is 140, while the sum is 21.

The square root of 112711152 is about 10616.5508523249. The cubic root of 112711152 is about 483.0465257875.

Adding to 112711152 its reverse (251117211), we get a palindrome (363828363).

The spelling of 112711152 in words is "one hundred twelve million, seven hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 101 134 201 202 268 303 347 402 404 536 606 694 804 808 1041 1072 1212 1388 1608 1616 2082 2424 2776 3216 4164 4848 5552 6767 8328 13534 16656 20301 23249 27068 35047 40602 46498 54136 69747 70094 81204 92996 105141 108272 139494 140188 162408 185992 210282 278988 280376 324816 371984 420564 557976 560752 841128 1115952 1682256 2348149 4696298 7044447 9392596 14088894 18785192 28177788 37570384 56355576 112711152