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930420 = 223351723
BaseRepresentation
bin11100011001001110100
31202021022000
43203021310
5214233140
631535300
710623411
oct3431164
91667260
10930420
11586047
1238a530
1326765a
141a3108
15135a30
hexe3274

930420 has 48 divisors (see below), whose sum is σ = 2896320. Its totient is φ = 247968.

The previous prime is 930409. The next prime is 930437. The reversal of 930420 is 24039.

930420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 930393 and 930402.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 930420.

It is an unprimeable number.

930420 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, 322 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (60340).

2930420 is an apocalyptic number.

930420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

930420 is an abundant number, since it is smaller than the sum of its proper divisors (1965900).

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

930420 is a wasteful number, since it uses less digits than its factorization.

930420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 930420 is about 964.5828113749. The cubic root of 930420 is about 97.6246925340.

Adding to 930420 its reverse (24039), we get a palindrome (954459).

The spelling of 930420 in words is "nine hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1723 3446 5169 6892 8615 10338 15507 17230 20676 25845 31014 34460 46521 51690 62028 77535 93042 103380 155070 186084 232605 310140 465210 930420