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996380 = 225711647
BaseRepresentation
bin11110011010000011100
31212121202222
43303100130
5223341010
633204512
711316620
oct3632034
91777688
10996380
11620660
12400738
1328b698
141bd180
1514a355
hexf341c

996380 has 48 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 310080.

The previous prime is 996367. The next prime is 996403. The reversal of 996380 is 83699.

996380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 996380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2996380 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 996380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

996380 is an abundant number, since it is smaller than the sum of its proper divisors (1616356).

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

996380 is a wasteful number, since it uses less digits than its factorization.

996380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 996380 is about 998.1883589784. The cubic root of 996380 is about 99.8791874354.

The spelling of 996380 in words is "nine hundred ninety-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 647 770 1294 1540 2588 3235 4529 6470 7117 9058 12940 14234 18116 22645 28468 35585 45290 49819 71170 90580 99638 142340 199276 249095 498190 996380