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930093 = 33173137
BaseRepresentation
bin11100011000100101101
31202020211220
43203010231
5214230333
631533553
710622433
oct3430455
91666756
10930093
1158587a
1238a2b9
13267468
141a2d53
151358b3
hexe312d

930093 has 16 divisors (see below), whose sum is σ = 1307136. Its totient is φ = 587520.

The previous prime is 930089. The next prime is 930101. The reversal of 930093 is 390039.

930093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 930093 - 22 = 930089 is a prime.

930093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6721 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (81696).

2930093 is an apocalyptic number.

930093 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

930093 is a deficient number, since it is larger than the sum of its proper divisors (377043).

930093 is a wasteful number, since it uses less digits than its factorization.

930093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 930093 is about 964.4132931477. The cubic root of 930093 is about 97.6132543251.

It can be divided in two parts, 9300 and 93, that multiplied together give a square (864900 = 9302).

The spelling of 930093 in words is "nine hundred thirty thousand, ninety-three".

Divisors: 1 3 31 73 93 137 219 411 2263 4247 6789 10001 12741 30003 310031 930093