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990726 = 231117883
BaseRepresentation
bin11110001111000000110
31212100000120
43301320012
5223200401
633122410
711264262
oct3617006
91770016
10990726
11617390
123b9406
13288c39
141bb0a2
15148836
hexf1e06

990726 has 32 divisors (see below), whose sum is σ = 2291328. Its totient is φ = 282240.

The previous prime is 990719. The next prime is 990733. The reversal of 990726 is 627099.

990726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (990719) and next prime (990733).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

990726 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 15 ways as a sum of consecutive naturals, for example, 681 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (71604).

2990726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145664).

990726 is an abundant number, since it is smaller than the sum of its proper divisors (1300602).

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

990726 is a wasteful number, since it uses less digits than its factorization.

990726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 990726 is about 995.3521989728. The cubic root of 990726 is about 99.6899060782.

The spelling of 990726 in words is "nine hundred ninety thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 883 1122 1766 2649 5298 9713 15011 19426 29139 30022 45033 58278 90066 165121 330242 495363 990726