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1004053420 = 225316472503
BaseRepresentation
bin111011110110001…
…010001110101100
32120222022012100201
4323312022032230
54024014202140
6243344203244
733611212306
oct7366121654
92528265321
101004053420
11475842217
12240309524
13130029166
14974c4976
155d23249a
hex3bd8a3ac

1004053420 has 48 divisors (see below), whose sum is σ = 2180763648. Its totient is φ = 387910080.

The previous prime is 1004053403. The next prime is 1004053429. The reversal of 1004053420 is 243504001.

It is not an unprimeable number, because it can be changed into a prime (1004053429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399889 + ... + 402391.

It is an arithmetic number, because the mean of its divisors is an integer number (45432576).

Almost surely, 21004053420 is an apocalyptic number.

1004053420 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 1004053420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090381824).

1004053420 is an abundant number, since it is smaller than the sum of its proper divisors (1176710228).

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

1004053420 is a wasteful number, since it uses less digits than its factorization.

1004053420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1004053420 is about 31686.8019844225. The cubic root of 1004053420 is about 1001.3493185206.

Adding to 1004053420 its reverse (243504001), we get a palindrome (1247557421).

The spelling of 1004053420 in words is "one billion, four million, fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 647 1294 2503 2588 3235 5006 6470 10012 12515 12940 20057 25030 40114 50060 77593 80228 100285 155186 200570 310372 387965 401140 775930 1551860 1619441 3238882 6477764 8097205 16194410 32388820 50202671 100405342 200810684 251013355 502026710 1004053420