Search a number
-
+
1297538640 = 243251802137
BaseRepresentation
bin100110101010110…
…1101111001010000
310100102112210101200
41031111231321100
510124132214030
6332430431200
744103616326
oct11525557120
93312483350
101297538640
11606476a92
12302662500
13178a85858
14c447dd16
1578da5d60
hex4d56de50

1297538640 has 60 divisors (see below), whose sum is σ = 4357569684. Its totient is φ = 346010112.

The previous prime is 1297538597. The next prime is 1297538647. The reversal of 1297538640 is 468357921.

1297538640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 960008256 + 337530384 = 30984^2 + 18372^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

1297538640 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297538647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 900349 + ... + 901788.

It is a 1-persistent number, because it is pandigital, but 2⋅1297538640 = 2595077280 is not.

Almost surely, 21297538640 is an apocalyptic number.

1297538640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1297538640 is an abundant number, since it is smaller than the sum of its proper divisors (3060031044).

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

1297538640 is a wasteful number, since it uses less digits than its factorization.

1297538640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802156 (or 1802147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1297538640 is about 36021.3636610276. The cubic root of 1297538640 is about 1090.7036502531.

It can be divided in two parts, 12975 and 38640, that added together give a palindrome (51615).

The spelling of 1297538640 in words is "one billion, two hundred ninety-seven million, five hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1802137 3604274 5406411 7208548 9010685 10812822 14417096 16219233 18021370 21625644 27032055 28834192 32438466 36042740 43251288 54064110 64876932 72085480 81096165 86502576 108128220 129753864 144170960 162192330 216256440 259507728 324384660 432512880 648769320 1297538640