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999396 = 2232172371
BaseRepresentation
bin11110011111111100100
31212202220200
43303333210
5223440041
633230500
711331456
oct3637744
91782820
10999396
11622952
12402430
1328cb78
141c02d6
1514b1b6
hexf3fe4

999396 has 72 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 295680.

The previous prime is 999389. The next prime is 999431. The reversal of 999396 is 693999.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 999396.

It is an unprimeable number.

999396 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, 14041 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2999396 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 999396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

999396 is an abundant number, since it is smaller than the sum of its proper divisors (1831068).

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

999396 is a wasteful number, since it uses less digits than its factorization.

999396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 116 counting only the distinct ones).

The product of its digits is 118098, while the sum is 45.

The square root of 999396 is about 999.6979543842. The cubic root of 999396 is about 99.9798626118.

The spelling of 999396 in words is "nine hundred ninety-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 71 92 102 138 142 153 204 207 213 276 284 306 391 414 426 612 639 782 828 852 1173 1207 1278 1564 1633 2346 2414 2556 3266 3519 3621 4692 4828 4899 6532 7038 7242 9798 10863 14076 14484 14697 19596 21726 27761 29394 43452 55522 58788 83283 111044 166566 249849 333132 499698 999396