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4230920 = 235192293
BaseRepresentation
bin10000001000111100001000
321221221201202
4100020330020
52040342140
6230403332
750651021
oct20107410
97857652
104230920
11242a831
121500548
13b51a05
147c1c48
15588915
hex408f08

4230920 has 48 divisors (see below), whose sum is σ = 10081260. Its totient is φ = 1597824.

The previous prime is 4230917. The next prime is 4230923. The reversal of 4230920 is 290324.

It is an interprime number because it is at equal distance from previous prime (4230917) and next prime (4230923).

It can be written as a sum of positive squares in 2 ways, for example, as 4056196 + 174724 = 2014^2 + 418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4230892 and 4230901.

It is not an unprimeable number, because it can be changed into a prime (4230923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14294 + ... + 14586.

Almost surely, 24230920 is an apocalyptic number.

4230920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040630).

4230920 is an abundant number, since it is smaller than the sum of its proper divisors (5850340).

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

4230920 is a wasteful number, since it uses less digits than its factorization.

4230920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4230920 is about 2056.9200276141. The cubic root of 4230920 is about 161.7378272243.

The spelling of 4230920 in words is "four million, two hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 293 361 380 586 722 760 1172 1444 1465 1805 2344 2888 2930 3610 5567 5860 7220 11134 11720 14440 22268 27835 44536 55670 105773 111340 211546 222680 423092 528865 846184 1057730 2115460 4230920