Search a number
-
+
1053271296 = 28337111979
BaseRepresentation
bin111110110001111…
…010010100000000
32201101220201121000
4332301322110000
54124114140141
6252303132000
735046441540
oct7661722400
92641821530
101053271296
114a05a9350
122548a4000
1313a29c56c
149dc57320
15627055b6
hex3ec7a500

1053271296 has 288 divisors, whose sum is σ = 3885235200. Its totient is φ = 273438720.

The previous prime is 1053271273. The next prime is 1053271319. The reversal of 1053271296 is 6921723501.

It is an interprime number because it is at equal distance from previous prime (1053271273) and next prime (1053271319).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10532712962 = 2218760845955039232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1053271296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531235 + ... + 533213.

It is an arithmetic number, because the mean of its divisors is an integer number (13490400).

Almost surely, 21053271296 is an apocalyptic number.

1053271296 is a gapful number since it is divisible by the number (16) 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 1053271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942617600).

1053271296 is an abundant number, since it is smaller than the sum of its proper divisors (2831963904).

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

1053271296 is a wasteful number, since it uses less digits than its factorization.

1053271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1053271296 is about 32454.1414306403. The cubic root of 1053271296 is about 1017.4507969213.

Adding to 1053271296 its reverse (6921723501), we get a palindrome (7974994797).

The spelling of 1053271296 in words is "one billion, fifty-three million, two hundred seventy-one thousand, two hundred ninety-six".