Search a number
-
+
992128 = 2723337
BaseRepresentation
bin11110010001110000000
31212101221111
43302032000
5223222003
633133104
711301334
oct3621600
91771844
10992128
11618445
123ba194
13289777
141bb7c4
15148e6d
hexf2380

992128 has 32 divisors (see below), whose sum is σ = 2068560. Its totient is φ = 473088.

The previous prime is 992113. The next prime is 992129. The reversal of 992128 is 821299.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 992128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992129) by changing a digit.

992128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2776 + ... + 3112.

2992128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034280).

992128 is an abundant number, since it is smaller than the sum of its proper divisors (1076432).

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

992128 is a wasteful number, since it uses less digits than its factorization.

992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 992128 is about 996.0562233127. The cubic root of 992128 is about 99.7369084353.

The spelling of 992128 in words is "nine hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 337 368 674 736 1348 1472 2696 2944 5392 7751 10784 15502 21568 31004 43136 62008 124016 248032 496064 992128