[go: up one dir, main page]

Search a number
-
+
1045123540 = 225162132237
BaseRepresentation
bin111110010010110…
…101000111010100
32200211120202222021
4332102311013110
54120022423130
6251412342524
734620255256
oct7622650724
92624522867
101045123540
11496a4386a
12252014a44
131386a8ac6
149cb35cd6
1561b4637a
hex3e4b51d4

1045123540 has 24 divisors (see below), whose sum is σ = 2196181512. Its totient is φ = 417778560.

The previous prime is 1045123517. The next prime is 1045123549. The reversal of 1045123540 is 453215401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 514926864 + 530196676 = 22692^2 + 23026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045123549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16302 + ... + 48538.

It is an arithmetic number, because the mean of its divisors is an integer number (91507563).

Almost surely, 21045123540 is an apocalyptic number.

1045123540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045123540 is an abundant number, since it is smaller than the sum of its proper divisors (1151057972).

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

1045123540 is a wasteful number, since it uses less digits than its factorization.

1045123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33867 (or 33865 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1045123540 is about 32328.3705126008. The cubic root of 1045123540 is about 1014.8204492027.

Adding to 1045123540 its reverse (453215401), we get a palindrome (1498338941).

The spelling of 1045123540 in words is "one billion, forty-five million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1621 3242 6484 8105 16210 32237 32420 64474 128948 161185 322370 644740 52256177 104512354 209024708 261280885 522561770 1045123540