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1053420030 = 2325134312089
BaseRepresentation
bin111110110010011…
…110100111111110
32201102012021121200
4332302132213332
54124133420110
6252310240330
735050631265
oct7662364776
92642167550
101053420030
114a06a0073
122549560a6
1313a322180
149dc955dc
15627346c0
hex3ec9e9fe

1053420030 has 96 divisors (see below), whose sum is σ = 2957834880. Its totient is φ = 258577920.

The previous prime is 1053420019. The next prime is 1053420031. The reversal of 1053420030 is 300243501.

It is a super-2 number, since 2×10534200302 = 2219387519210401800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1053419985 and 1053420012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053420031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503226 + ... + 505314.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 21053420030 is an apocalyptic number.

1053420030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053420030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

1053420030 is an abundant number, since it is smaller than the sum of its proper divisors (1904414850).

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

1053420030 is a wasteful number, since it uses less digits than its factorization.

1053420030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1053420030 is about 32456.4327984454. The cubic root of 1053420030 is about 1017.4986865786.

Adding to 1053420030 its reverse (300243501), we get a palindrome (1353663531).

The spelling of 1053420030 in words is "one billion, fifty-three million, four hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 431 585 862 1170 1293 2089 2155 2586 3879 4178 4310 5603 6267 6465 7758 10445 11206 12534 12930 16809 18801 19395 20890 27157 28015 31335 33618 37602 38790 50427 54314 56030 62670 81471 84045 94005 100854 135785 162942 168090 188010 244413 252135 271570 407355 488826 504270 814710 900359 1222065 1800718 2444130 2701077 4501795 5402154 8103231 9003590 11704667 13505385 16206462 23409334 27010770 35114001 40516155 58523335 70228002 81032310 105342003 117046670 175570005 210684006 351140010 526710015 1053420030