Search a number
-
+
1021146516 = 2232132181937
BaseRepresentation
bin111100110111010…
…111010110010100
32122011110121200100
4330313113112110
54042403142031
6245154414100
734206413355
oct7467272624
92564417610
101021146516
11484457545
12245b91330
13133732410
1499893d2c
155e9abde6
hex3cdd7594

1021146516 has 36 divisors (see below), whose sum is σ = 2779789012. Its totient is φ = 314198784.

The previous prime is 1021146509. The next prime is 1021146551. The reversal of 1021146516 is 6156411201.

1021146516 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 1 + 4 + 651 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 539168400 + 481978116 = 23220^2 + 21954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1021146516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090501 + ... + 1091436.

Almost surely, 21021146516 is an apocalyptic number.

It is an amenable number.

1021146516 is an abundant number, since it is smaller than the sum of its proper divisors (1758642496).

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

1021146516 is a wasteful number, since it uses less digits than its factorization.

1021146516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181960 (or 2181955 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1021146516 is about 31955.3832084674. The cubic root of 1021146516 is about 1006.9997281524. Note that the first 3 decimals are identical.

Adding to 1021146516 its reverse (6156411201), we get a palindrome (7177557717).

The spelling of 1021146516 in words is "one billion, twenty-one million, one hundred forty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2181937 4363874 6545811 8727748 13091622 19637433 26183244 28365181 39274866 56730362 78549732 85095543 113460724 170191086 255286629 340382172 510573258 1021146516