Search a number
-
+
1050434560 = 2105725379
BaseRepresentation
bin111110100111000…
…101110000000000
32201012120121022201
4332213011300000
54122402401220
6252122242544
735013355300
oct7647056000
92635517281
101050434560
11499a4103a
12253956454
13139818316
149d719600
1562344d0a
hex3e9c5c00

1050434560 has 264 divisors, whose sum is σ = 3024319680. Its totient is φ = 348880896.

The previous prime is 1050434557. The next prime is 1050434569. The reversal of 1050434560 is 654340501.

It is a super-2 number, since 2×10504345602 = 2206825529684787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050434569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13296601 + ... + 13296679.

Almost surely, 21050434560 is an apocalyptic number.

1050434560 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 1050434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512159840).

1050434560 is an abundant number, since it is smaller than the sum of its proper divisors (1973885120).

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

1050434560 is an equidigital number, since it uses as much as digits as its factorization.

1050434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1050434560 is about 32410.4082047727. The cubic root of 1050434560 is about 1016.5365549996.

The spelling of 1050434560 in words is "one billion, fifty million, four hundred thirty-four thousand, five hundred sixty".