Search a number
-
+
561415120 = 24571002527
BaseRepresentation
bin100001011101101…
…000001111010000
31110010101211202121
4201131220033100
52122210240440
6131413024024
716624643530
oct4135501720
91403354677
10561415120
112689a4542
12138025014
138c4091c6
14547c14c0
153444a34a
hex217683d0

561415120 has 40 divisors (see below), whose sum is σ = 1491761664. Its totient is φ = 192484992.

The previous prime is 561415111. The next prime is 561415133. The reversal of 561415120 is 21514165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×5614151202 = 630373873929228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 500704 + ... + 501823.

Almost surely, 2561415120 is an apocalyptic number.

It is an amenable number.

561415120 is an abundant number, since it is smaller than the sum of its proper divisors (930346544).

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

561415120 is a wasteful number, since it uses less digits than its factorization.

561415120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002547 (or 1002541 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 561415120 is about 23694.2001342101. The cubic root of 561415120 is about 824.9507751469.

Adding to 561415120 its reverse (21514165), we get a palindrome (582929285).

The spelling of 561415120 in words is "five hundred sixty-one million, four hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1002527 2005054 4010108 5012635 7017689 8020216 10025270 14035378 16040432 20050540 28070756 35088445 40101080 56141512 70176890 80202160 112283024 140353780 280707560 561415120