Search a number
-
+
993894 = 23112372
BaseRepresentation
bin11110010101001100110
31212111100220
43302221212
5223301034
633145210
711306436
oct3625146
91774326
10993894
11619800
123bb206
1328a505
141bc2c6
15149749
hexf2a66

993894 has 36 divisors (see below), whose sum is σ = 2245572. Its totient is φ = 293040.

The previous prime is 993893. The next prime is 993907. The reversal of 993894 is 498399.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26844 + ... + 26880.

It is an arithmetic number, because the mean of its divisors is an integer number (62377).

2993894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122786).

993894 is an abundant number, since it is smaller than the sum of its proper divisors (1251678).

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

993894 is a wasteful number, since it uses less digits than its factorization.

993894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 53 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 993894 is about 996.9423253128. The cubic root of 993894 is about 99.7960509975.

Multiplying 993894 by its product of digits (69984), we get a square (69556677696 = 2637362).

It can be divided in two parts, 99 and 3894, that added together give a palindrome (3993).

The spelling of 993894 in words is "nine hundred ninety-three thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 1369 2442 2738 4107 4477 8214 8954 13431 15059 26862 30118 45177 90354 165649 331298 496947 993894