Search a number
-
+
990192 = 24372421
BaseRepresentation
bin11110001101111110000
31212022021210
43301233300
5223141232
633120120
711262600
oct3615760
91768253
10990192
11616a45
123b9040
13288918
141bac00
151485cc
hexf1bf0

990192 has 60 divisors (see below), whose sum is σ = 2982696. Its totient is φ = 282240.

The previous prime is 990181. The next prime is 990211. The reversal of 990192 is 291099.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

990192 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 11 ways as a sum of consecutive naturals, for example, 2142 + ... + 2562.

2990192 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 990192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491348).

990192 is an abundant number, since it is smaller than the sum of its proper divisors (1992504).

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

990192 is a wasteful number, since it uses less digits than its factorization.

990192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 990192 is about 995.0839160593. The cubic root of 990192 is about 99.6719919502.

The spelling of 990192 in words is "nine hundred ninety thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 421 588 784 842 1176 1263 1684 2352 2526 2947 3368 5052 5894 6736 8841 10104 11788 17682 20208 20629 23576 35364 41258 47152 61887 70728 82516 123774 141456 165032 247548 330064 495096 990192