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993860 = 225731229
BaseRepresentation
bin11110010101001000100
31212111022122
43302221010
5223300420
633145112
711306360
oct3625104
91774278
10993860
1161977a
123bb198
1328a4aa
141bc2a0
15149725
hexf2a44

993860 has 48 divisors (see below), whose sum is σ = 2472960. Its totient is φ = 328320.

The previous prime is 993851. The next prime is 993869. The reversal of 993860 is 68399.

It is an interprime number because it is at equal distance from previous prime (993851) and next prime (993869).

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 993860.

It is not an unprimeable number, because it can be changed into a prime (993869) by changing a digit.

993860 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, 4226 + ... + 4454.

It is an arithmetic number, because the mean of its divisors is an integer number (51520).

2993860 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 993860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236480).

993860 is an abundant number, since it is smaller than the sum of its proper divisors (1479100).

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

993860 is a wasteful number, since it uses less digits than its factorization.

993860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

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

The square root of 993860 is about 996.9252730270. The cubic root of 993860 is about 99.7949130142.

The spelling of 993860 in words is "nine hundred ninety-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 229 310 434 458 620 868 916 1085 1145 1603 2170 2290 3206 4340 4580 6412 7099 8015 14198 16030 28396 32060 35495 49693 70990 99386 141980 198772 248465 496930 993860