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403144420 = 225713721019
BaseRepresentation
bin11000000001110…
…111111011100100
31001002120212011211
4120001313323210
51311201110140
6104000441204
712663446110
oct3001677344
91032525154
10403144420
11197623408
12b3019204
13656a28c3
143b782740
15255d52ea
hex18077ee4

403144420 has 48 divisors (see below), whose sum is σ = 974655360. Its totient is φ = 137205504.

The previous prime is 403144397. The next prime is 403144421. The reversal of 403144420 is 24441304.

It is a junction number, because it is equal to n+sod(n) for n = 403144391 and 403144400.

It is not an unprimeable number, because it can be changed into a prime (403144421) 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, 8671 + ... + 29689.

It is an arithmetic number, because the mean of its divisors is an integer number (20305320).

Almost surely, 2403144420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403144420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487327680).

403144420 is an abundant number, since it is smaller than the sum of its proper divisors (571510940).

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

403144420 is a wasteful number, since it uses less digits than its factorization.

403144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 403144420 is about 20078.4566139930. The cubic root of 403144420 is about 738.7319530102.

Adding to 403144420 its reverse (24441304), we get a palindrome (427585724).

The spelling of 403144420 in words is "four hundred three million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 19180 21019 42038 84076 105095 147133 210190 294266 420380 588532 735665 1471330 2879603 2942660 5759206 11518412 14398015 20157221 28796030 40314442 57592060 80628884 100786105 201572210 403144420