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1053071712 = 253371121439
BaseRepresentation
bin111110110001001…
…001100101100000
32201101112120211000
4332301021211200
54124041243322
6252254552000
735044650630
oct7661114540
92641476730
101053071712
114a0482400
12254808600
1313a22c774
149dc046c0
15626b63ac
hex3ec49960

1053071712 has 288 divisors, whose sum is σ = 3861043200. Its totient is φ = 273335040.

The previous prime is 1053071711. The next prime is 1053071717. The reversal of 1053071712 is 2171703501.

It is a happy number.

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

It is a super-2 number, since 2×10530717122 = 2217920061229221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053071711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731089 + ... + 732527.

It is an arithmetic number, because the mean of its divisors is an integer number (13406400).

Almost surely, 21053071712 is an apocalyptic number.

1053071712 is a gapful number since it is divisible by the number (12) 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 1053071712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930521600).

1053071712 is an abundant number, since it is smaller than the sum of its proper divisors (2807971488).

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

1053071712 is a wasteful number, since it uses less digits than its factorization.

1053071712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1053071712 is about 32451.0664231547. The cubic root of 1053071712 is about 1017.3865273995.

The spelling of 1053071712 in words is "one billion, fifty-three million, seventy-one thousand, seven hundred twelve".