Search a number
-
+
1056540096 = 26327325127
BaseRepresentation
bin111110111110011…
…000010111000000
32201122001210112200
4332332120113000
54130433240341
6252501153200
735116304553
oct7676302700
92648053480
101056540096
114a2431237
122559bb800
1313ab75371
14a046869a
1562b4ddb6
hex3ef985c0

1056540096 has 84 divisors (see below), whose sum is σ = 3069988272. Its totient is φ = 347341824.

The previous prime is 1056540061. The next prime is 1056540097. The reversal of 1056540096 is 6900456501.

1056540096 is a `hidden beast` number, since 1 + 0 + 565 + 4 + 0 + 0 + 96 = 666.

It is a super-2 number, since 2×10565400962 = 2232553948911378432, 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 1056540096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056540097) 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, 29485 + ... + 54611.

Almost surely, 21056540096 is an apocalyptic number.

1056540096 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 1056540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534994136).

1056540096 is an abundant number, since it is smaller than the sum of its proper divisors (2013448176).

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

1056540096 is a wasteful number, since it uses less digits than its factorization.

1056540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25218 (or 25205 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1056540096 is about 32504.4627089881. The cubic root of 1056540096 is about 1018.5022539522.

Adding to 1056540096 its reverse (6900456501), we get a palindrome (7956996597).

The spelling of 1056540096 in words is "one billion, fifty-six million, five hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 438 576 584 657 876 1168 1314 1752 2336 2628 3504 4672 5256 7008 10512 14016 21024 25127 42048 50254 75381 100508 150762 201016 226143 301524 402032 452286 603048 804064 904572 1206096 1608128 1809144 1834271 2412192 3618288 3668542 4824384 5502813 7236576 7337084 11005626 14473152 14674168 16508439 22011252 29348336 33016878 44022504 58696672 66033756 88045008 117393344 132067512 176090016 264135024 352180032 528270048 1056540096