Search a number
-
+
112110320 = 24571071871
BaseRepresentation
bin1101010111010…
…10101011110000
321210221210110002
412223222223300
5212200012240
615042525132
72530631150
oct653525360
9253853402
10112110320
1158313163
12316667a8
131a2c3a8a
1410c64760
159c97d15
hex6aeaaf0

112110320 has 80 divisors (see below), whose sum is σ = 300837888. Its totient is φ = 38058240.

The previous prime is 112110319. The next prime is 112110347. The reversal of 112110320 is 23011211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58985 + ... + 60855.

Almost surely, 2112110320 is an apocalyptic number.

112110320 is a gapful number since it is divisible by the number (10) 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 112110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150418944).

112110320 is an abundant number, since it is smaller than the sum of its proper divisors (188727568).

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

112110320 is a wasteful number, since it uses less digits than its factorization.

112110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112110320 is about 10588.2160914859. The cubic root of 112110320 is about 482.1866669081.

Adding to 112110320 its reverse (23011211), we get a palindrome (135121531).

The spelling of 112110320 in words is "one hundred twelve million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 1871 2140 2996 3742 3745 4280 5992 7484 7490 8560 9355 11984 13097 14968 14980 18710 26194 29936 29960 37420 52388 59920 65485 74840 104776 130970 149680 200197 209552 261940 400394 523880 800788 1000985 1047760 1401379 1601576 2001970 2802758 3203152 4003940 5605516 7006895 8007880 11211032 14013790 16015760 22422064 28027580 56055160 112110320