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993916 = 227211461
BaseRepresentation
bin11110010101001111100
31212111101201
43302221330
5223301131
633145244
711306500
oct3625174
91774351
10993916
11619820
123bb224
1328a521
141bc300
15149761
hexf2a7c

993916 has 36 divisors (see below), whose sum is σ = 2212056. Its totient is φ = 386400.

The previous prime is 993913. The next prime is 993919. The reversal of 993916 is 619399.

It is an interprime number because it is at equal distance from previous prime (993913) and next prime (993919).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1926 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (61446).

2993916 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 993916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106028).

993916 is an abundant number, since it is smaller than the sum of its proper divisors (1218140).

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

993916 is a wasteful number, since it uses less digits than its factorization.

993916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its digits is 13122, while the sum is 37.

The square root of 993916 is about 996.9533589893. The cubic root of 993916 is about 99.7967873258.

The spelling of 993916 in words is "nine hundred ninety-three thousand, nine hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 461 539 922 1078 1844 2156 3227 5071 6454 10142 12908 20284 22589 35497 45178 70994 90356 141988 248479 496958 993916