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253340507 = 7131431641
BaseRepresentation
bin11110001100110…
…10101101011011
3122122201000211202
433012122231123
51004323344012
641045544415
76164234030
oct1706325533
9578630752
10253340507
11120005522
1270a1510b
1340642034
1425909387
1517393cc2
hexf19ab5b

253340507 has 16 divisors (see below), whose sum is σ = 292875264. Its totient is φ = 214656000.

The previous prime is 253340473. The next prime is 253340531. The reversal of 253340507 is 705043352.

It is a cyclic number.

It is not a de Polignac number, because 253340507 - 28 = 253340251 is a prime.

It is a super-3 number, since 3×2533405073 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253340507.

It is not an unprimeable number, because it can be changed into a prime (253340557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394907 + ... + 395547.

It is an arithmetic number, because the mean of its divisors is an integer number (18304704).

Almost surely, 2253340507 is an apocalyptic number.

253340507 is a deficient number, since it is larger than the sum of its proper divisors (39534757).

253340507 is a wasteful number, since it uses less digits than its factorization.

253340507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210.

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 253340507 is about 15916.6738673631. The cubic root of 253340507 is about 632.7539696761.

Adding to 253340507 its reverse (705043352), we get a palindrome (958383859).

The spelling of 253340507 in words is "two hundred fifty-three million, three hundred forty thousand, five hundred seven".

Divisors: 1 7 131 431 641 917 3017 4487 56461 83971 276271 395227 587797 1933897 36191501 253340507