Search a number
-
+
112002192 = 2432839371
BaseRepresentation
bin1101010110100…
…00010010010000
321210202022010100
412223100102100
5212133032232
615040332400
72530001001
oct653202220
9253668110
10112002192
11582499a5
1231614100
131a2867b3
1410c371a8
159c75c7c
hex6ad0490

112002192 has 60 divisors (see below), whose sum is σ = 317260944. Its totient is φ = 36880320.

The previous prime is 112002181. The next prime is 112002193. The reversal of 112002192 is 291200211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112002193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7267 + ... + 16637.

Almost surely, 2112002192 is an apocalyptic number.

112002192 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 112002192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630472).

112002192 is an abundant number, since it is smaller than the sum of its proper divisors (205258752).

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

112002192 is a wasteful number, since it uses less digits than its factorization.

112002192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 112002192 is about 10583.1088060173. The cubic root of 112002192 is about 482.0315974763.

The spelling of 112002192 in words is "one hundred twelve million, two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 996 1328 1494 1992 2988 3984 5976 9371 11952 18742 28113 37484 56226 74968 84339 112452 149936 168678 224904 337356 449808 674712 777793 1349424 1555586 2333379 3111172 4666758 6222344 7000137 9333516 12444688 14000274 18667032 28000548 37334064 56001096 112002192