Search a number
-
+
1055713340 = 22511192379139
BaseRepresentation
bin111110111011001…
…110100000111100
32201120111210110002
4332323032200330
54130230311330
6252431333432
735106262313
oct7673164074
92646453402
101055713340
114a1a17070
12255681278
1313a945c66
14a02d127a
1562a38e45
hex3eece83c

1055713340 has 192 divisors, whose sum is σ = 2709504000. Its totient is φ = 341003520.

The previous prime is 1055713327. The next prime is 1055713343. The reversal of 1055713340 is 433175501.

It is a super-2 number, since 2×10557133402 = 2229061312507911200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055713343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7594991 + ... + 7595129.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 21055713340 is an apocalyptic number.

1055713340 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 1055713340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752000).

1055713340 is an abundant number, since it is smaller than the sum of its proper divisors (1653790660).

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

1055713340 is a wasteful number, since it uses less digits than its factorization.

1055713340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 1055713340 is about 32491.7426433240. The cubic root of 1055713340 is about 1018.2365209913.

Adding to 1055713340 its reverse (433175501), we get a palindrome (1488888841).

The spelling of 1055713340 in words is "one billion, fifty-five million, seven hundred thirteen thousand, three hundred forty".