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1056073480 = 235721126173
BaseRepresentation
bin111110111100100…
…110011100001000
32201121012002110121
4332330212130020
54130323322410
6252443153024
735112322300
oct7674463410
92647162417
101056073480
114a2142700
12255815774
1313aa40b67
14a0386600
1562aaa9da
hex3ef26708

1056073480 has 288 divisors, whose sum is σ = 3130346520. Its totient is φ = 319334400.

The previous prime is 1056073477. The next prime is 1056073481. The reversal of 1056073480 is 843706501.

It can be written as a sum of positive squares in 4 ways, for example, as 584575684 + 471497796 = 24178^2 + 21714^2 .

It is a super-2 number, since 2×10560734802 = 2230582390318620800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056073481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14466724 + ... + 14466796.

Almost surely, 21056073480 is an apocalyptic number.

1056073480 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 1056073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565173260).

1056073480 is an abundant number, since it is smaller than the sum of its proper divisors (2074273040).

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

1056073480 is a wasteful number, since it uses less digits than its factorization.

1056073480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1056073480 is about 32497.2841942215. The cubic root of 1056073480 is about 1018.3522929519.

Adding to 1056073480 its reverse (843706501), we get a palindrome (1899779981).

The spelling of 1056073480 in words is "one billion, fifty-six million, seventy-three thousand, four hundred eighty".