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990396 = 2232114161
BaseRepresentation
bin11110001110010111100
31212022120100
43301302330
5223143041
633121100
711263311
oct3616274
91768510
10990396
11617110
123b9190
13288a44
141bad08
151486b6
hexf1cbc

990396 has 72 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 288000.

The previous prime is 990389. The next prime is 990397. The reversal of 990396 is 693099.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 990396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990397) by changing a digit.

990396 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 23 ways as a sum of consecutive naturals, for example, 16206 + ... + 16266.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2990396 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 990396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

990396 is an abundant number, since it is smaller than the sum of its proper divisors (1853172).

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

990396 is a wasteful number, since it uses less digits than its factorization.

990396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 990396 is about 995.1864146983. The cubic root of 990396 is about 99.6788363097.

It can be divided in two parts, 9903 and 96, that added together give a palindrome (9999).

The spelling of 990396 in words is "nine hundred ninety thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 61 66 82 99 122 123 132 164 183 198 244 246 366 369 396 451 492 549 671 732 738 902 1098 1342 1353 1476 1804 2013 2196 2501 2684 2706 4026 4059 5002 5412 6039 7503 8052 8118 10004 12078 15006 16236 22509 24156 27511 30012 45018 55022 82533 90036 110044 165066 247599 330132 495198 990396