Search a number
-
+
1051453440 = 2113353803
BaseRepresentation
bin111110101010111…
…110100000000000
32201021111100222000
4332222332200000
54123133002230
6252200144000
735025130632
oct7652764000
92637440860
101051453440
1149a577594
12254168000
13139ab3ccb
149d902a52
1562496b60
hex3eabe800

1051453440 has 192 divisors, whose sum is σ = 3738571200. Its totient is φ = 280313856.

The previous prime is 1051453433. The next prime is 1051453499. The reversal of 1051453440 is 443541501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10514534402 = 2211108672975667200, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274579 + ... + 278381.

It is an arithmetic number, because the mean of its divisors is an integer number (19471725).

Almost surely, 21051453440 is an apocalyptic number.

1051453440 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 1051453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869285600).

1051453440 is an abundant number, since it is smaller than the sum of its proper divisors (2687117760).

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

1051453440 is an equidigital number, since it uses as much as digits as its factorization.

1051453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1051453440 is about 32426.1228024567. The cubic root of 1051453440 is about 1016.8651155506.

Adding to 1051453440 its reverse (443541501), we get a palindrome (1494994941).

The spelling of 1051453440 in words is "one billion, fifty-one million, four hundred fifty-three thousand, four hundred forty".