Search a number
-
+
1053420032 = 2972199211
BaseRepresentation
bin111110110010011…
…110101000000000
32201102012021121202
4332302132220000
54124133420112
6252310240332
735050631300
oct7662365000
92642167552
101053420032
114a06a0075
122549560a8
1313a322182
149dc95600
15627346c2
hex3ec9ea00

1053420032 has 120 divisors (see below), whose sum is σ = 2472386400. Its totient is φ = 447068160.

The previous prime is 1053420031. The next prime is 1053420061. The reversal of 1053420032 is 2300243501.

It is a happy number.

It is a super-2 number, since 2×10534200322 = 2219387527637762048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053419986 and 1053420013.

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 11 ways as a sum of consecutive naturals, for example, 4992407 + ... + 4992617.

It is an arithmetic number, because the mean of its divisors is an integer number (20603220).

Almost surely, 21053420032 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 1053420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236193200).

1053420032 is an abundant number, since it is smaller than the sum of its proper divisors (1418966368).

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

1053420032 is an equidigital number, since it uses as much as digits as its factorization.

1053420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1053420032 is about 32456.4328292559. The cubic root of 1053420032 is about 1017.4986872225.

Adding to 1053420032 its reverse (2300243501), we get a palindrome (3353663533).

The spelling of 1053420032 in words is "one billion, fifty-three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 199 211 224 256 392 398 422 448 512 784 796 844 896 1393 1477 1568 1592 1688 1792 2786 2954 3136 3184 3376 3584 5572 5908 6272 6368 6752 9751 10339 11144 11816 12544 12736 13504 19502 20678 22288 23632 25088 25472 27008 39004 41356 41989 44576 47264 50944 54016 78008 82712 83978 89152 94528 101888 108032 156016 165424 167956 178304 189056 293923 312032 330848 335912 356608 378112 587846 624064 661696 671824 713216 756224 1175692 1248128 1323392 1343648 2057461 2351384 2496256 2646784 2687296 4114922 4702768 4992512 5293568 5374592 8229844 9405536 10749184 16459688 18811072 21498368 32919376 37622144 65838752 75244288 131677504 150488576 263355008 526710016 1053420032