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1003230420 = 22354329043
BaseRepresentation
bin111011110011000…
…001010011010100
32120220202101102020
4323303001103110
54023311333140
6243314413140
733601214013
oct7363012324
92526671366
101003230420
1147532a955
1223bb911b0
1312cacb68a
149734ca7a
155d11d6d0
hex3bcc14d4

1003230420 has 72 divisors (see below), whose sum is σ = 2876209056. Its totient is φ = 261277632.

The previous prime is 1003230413. The next prime is 1003230421. The reversal of 1003230420 is 240323001.

1003230420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10032304202 = 2012942551226752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1003230420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003230421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106419 + ... + 115461.

It is an arithmetic number, because the mean of its divisors is an integer number (39947348).

Almost surely, 21003230420 is an apocalyptic number.

1003230420 is a gapful number since it is divisible by the number (10) 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 1003230420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438104528).

1003230420 is an abundant number, since it is smaller than the sum of its proper divisors (1872978636).

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

1003230420 is a wasteful number, since it uses less digits than its factorization.

1003230420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9096 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1003230420 is about 31673.8128427886. The cubic root of 1003230420 is about 1001.0756492305.

Adding to 1003230420 its reverse (240323001), we get a palindrome (1243553421).

The spelling of 1003230420 in words is "one billion, three million, two hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1849 2580 3698 5547 7396 9043 9245 11094 18086 18490 22188 27129 27735 36172 36980 45215 54258 55470 90430 108516 110940 135645 180860 271290 388849 542580 777698 1166547 1555396 1944245 2333094 3888490 4666188 5832735 7776980 11665470 16720507 23330940 33441014 50161521 66882028 83602535 100323042 167205070 200646084 250807605 334410140 501615210 1003230420