Search a number
-
+
112002432 = 2731372129
BaseRepresentation
bin1101010110100…
…00010110000000
321210202022110020
412223100112000
5212133034212
615040333440
72530001463
oct653202600
9253668406
10112002432
115824a0a3
1231614280
131a286939
1410c372da
159c75d8c
hex6ad0580

112002432 has 64 divisors (see below), whose sum is σ = 299818800. Its totient is φ = 37044224.

The previous prime is 112002427. The next prime is 112002439. The reversal of 112002432 is 234200211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51544 + ... + 53672.

Almost surely, 2112002432 is an apocalyptic number.

112002432 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 112002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909400).

112002432 is an abundant number, since it is smaller than the sum of its proper divisors (187816368).

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

112002432 is a wasteful number, since it uses less digits than its factorization.

112002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 112002432 is about 10583.1201448344. The cubic root of 112002432 is about 482.0319417776.

Adding to 112002432 its reverse (234200211), we get a palindrome (346202643).

The spelling of 112002432 in words is "one hundred twelve million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 274 384 411 548 822 1096 1644 2129 2192 3288 4258 4384 6387 6576 8516 8768 12774 13152 17032 17536 25548 26304 34064 51096 52608 68128 102192 136256 204384 272512 291673 408768 583346 817536 875019 1166692 1750038 2333384 3500076 4666768 7000152 9333536 14000304 18667072 28000608 37334144 56001216 112002432