Search a number
-
+
3150090240 = 21235115979
BaseRepresentation
bin1011101111000010…
…1001000000000000
322010112110011102220
42323300221000000
522422410341430
61240325211040
7141030216363
oct27360510000
98115404386
103150090240
111377164470
1273ab60a80
133b281552b
1421c5160da
15136840110
hexbbc29000

3150090240 has 416 divisors, whose sum is σ = 11323238400. Its totient is φ = 741212160.

The previous prime is 3150090211. The next prime is 3150090253. The reversal of 3150090240 is 420900513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3150090240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39874521 + ... + 39874599.

Almost surely, 23150090240 is an apocalyptic number.

3150090240 is a gapful number since it is divisible by the number (30) 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 3150090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661619200).

3150090240 is an abundant number, since it is smaller than the sum of its proper divisors (8173148160).

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

3150090240 is a wasteful number, since it uses less digits than its factorization.

3150090240 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3150090240 is about 56125.6647176673. The cubic root of 3150090240 is about 1465.9112068995.

Adding to 3150090240 its reverse (420900513), we get a palindrome (3570990753).

The spelling of 3150090240 in words is "three billion, one hundred fifty million, ninety thousand, two hundred forty".